Least Common Multiple of 969, 144, 561, 246, 912

Q: How to Find the LCM of 969, 144, 561, 246, 912 ?

Least Common Multiple of 969, 144, 561, 246, 912 = 20976912 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(969, 144, 561, 246, 912) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 19 x 41 = 20976912.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 969, 144, 561, 246, 912 i.e. 20976912 smallest integer divisible by all numbers.

Least common multiple (LCM) of 969, 144, 561, 246, 912 is 20976912.

LCM(969, 144, 561, 246, 912) = 20976912

LCM of 969, 144, 561, 246, 912

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 969, 144, 561, 246, 912 by common division method
Least Common Multiple of 969, 144, 561, 246, 912 with GCF Formula

Least Common Multiple of 969,144,561,246,912

Least Common Multiple (LCM) of 969,144,561,246,912 is 20976912

2	969, 144, 561, 246, 912
2	969, 72, 561, 123, 456
2	969, 36, 561, 123, 228
2	969, 18, 561, 123, 114
3	969, 9, 561, 123, 57
17	323, 3, 187, 41, 19
19	19, 3, 11, 41, 19
	1, 3, 11, 41, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 17 x 19 x 1 x 3 x 11 x 41 x 1 = 20976912

Least Common Multiple of 969,144,561,246,912 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 969,144,561,246,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,144,561,246,912) = 3

common factors(in case of two or more numbers have common factors) = 279072

GCF(969,144,561,246,912) x common factors =3 x 279072 = 837216

LCM(969,144,561,246,912) = ( 969 × 144 × 561 × 246 × 912 ) / 837216

LCM(969,144,561,246,912) = 17562206356992 / 837216

LCM(969,144,561,246,912) = 20976912

∴ Least Common Multiple of 969,144,561,246,912 is 20976912

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 969, 144, 561, 246, 912

1. What is the LCM of 969, 144, 561, 246, 912?

Answer: LCM of 969, 144, 561, 246, 912 is 20976912.

2. What are the Factors of 20976912?

Answer: Factors of 20976912 are . There are integers that are factors of 20976912

3. How to Find the LCM of 969, 144, 561, 246, 912 ?

Least Common Multiple of 969, 144, 561, 246, 912.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(969, 144, 561, 246, 912) = 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 x 19 x 41 = 20976912.