Common Multiples aur Common Factors

Class 6 Maths · Chapter 5: Prime Time · NCERT Ganita Prakash section 5.1

Seekho

Kisi number ke multiples wo hain jo us number ke jumps mein ginne par milte hain. 4 ke multiples: 4, 8, 12, 16, 20, … Ye kabhi khatam nahi hote!

Taali aur chutki! Class 6 kamre mein baari-baari ginti karti hai. 4 ke har multiple par taali; 6 ke har multiple par chutki; jo number dono ka multiple ho us par taali aur chutki. Pehli taali-chutki 12 par aati hai, phir 24, 36 … Ye 4 aur 6 ke common multiples hain.

4: 4, 8, 12, 16, 20, 24 · 6: 6, 12, 18, 24 → 12, 24

Kisi number ke factors use poora bhaag dete hain. 18 tiles ko rectangles mein lagao: 1 × 18, 2 × 9, 3 × 6. To 18 ke factors 1, 2, 3, 6, 9 aur 18 hain.

Meher ke paas 18 cm lambi laal ribbon aur 24 cm lambi neeli ribbon hai. Wo dono ko barabar lambai ke tukdon mein kaatna chahti hai, bina kuch bache. Tukde ki lambai 18 aur 24 ka common factor honi chahiye: 1, 2, 3 ya 6 cm. Sabse lambe tukde 6 cm ke ho sakte hain.

common factors: 1, 2, 3, 6

Explore: is number board par multiple jasoos bano.

1. 5 ke har multiple par tap karo.
2. Naya board: 4 aur 6 ke har common multiple par tap karo.
3. Ab aisi jump dhoondo jo 18 aur 24 dono par gire. Jitni badi ho sake utni.

Yaad rakho

• Multiples: jumps mein gino (4, 8, 12 …). Factors: jo poora bhaag dein (12 ke factors: 1, 2, 3, 4, 6, 12).
• Common multiples dono ki multiples list mein hain; common factors dono ki factors list mein.

Quick check

Kaunsa number 3 aur 5 ka common multiple hai?

1. 8
2. 15
3. 20
4. 25

Socho

Do numbers, dono 10 se chhote, ka pehla common multiple 35 hai. Wo kya hain?

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.