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Find the LCM of 550, 880 and 1320 .
Question

Find the LCM of 550, 880 and 1320 .

A.

13200

B.

10800

C.

12300

D.

11000

Correct option is A

Find the LCM of 550, 880 and 1320 .

Given:

Given numbers are 550, 880 and 1320

Formula Used:

LCM of the numbers is the smallest common number which when divided by the numbers leaves no remainder

Solution:

Prime factorization of 550, 880 and 1320 is:

550 =2×52×11 2 \times 5^2 \times 11​​

880 =24×5×11 2^4 \times 5 \times 11​​

1320 =23×3×5×11 2^3 \times 3 \times 5 \times 11​​

LCM = 24×3×52×11=13,2002^4\times 3 \times 5^2 \times 11 = 13,200​​

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