Least Common Multiple of 429, 465, 560, 961

Q: How to Find the LCM of 429, 465, 560, 961 ?

Least Common Multiple of 429, 465, 560, 961 = 230870640 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(429, 465, 560, 961) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 31 x 31 = 230870640.

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 429, 465, 560, 961 i.e. 230870640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 429, 465, 560, 961 is 230870640.

LCM(429, 465, 560, 961) = 230870640

LCM of 429, 465, 560, 961

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

Least Common Multiple of 429, 465, 560, 961 by common division method
Least Common Multiple of 429, 465, 560, 961 with GCF Formula

Least Common Multiple of 429,465,560,961

Least Common Multiple (LCM) of 429,465,560,961 is 230870640

3	429, 465, 560, 961
5	143, 155, 560, 961
31	143, 31, 112, 961
	143, 1, 112, 31

∴ So the LCM of the given numbers is 3 x 5 x 31 x 143 x 1 x 112 x 31 = 230870640

Least Common Multiple of 429,465,560,961 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 429,465,560,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,465,560,961) = 1

common factors(in case of two or more numbers have common factors) = 465

GCF(429,465,560,961) x common factors =1 x 465 = 465

LCM(429,465,560,961) = ( 429 × 465 × 560 × 961 ) / 465

LCM(429,465,560,961) = 107354847600 / 465

LCM(429,465,560,961) = 230870640

∴ Least Common Multiple of 429,465,560,961 is 230870640

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 429, 465, 560, 961

1. What is the LCM of 429, 465, 560, 961?

Answer: LCM of 429, 465, 560, 961 is 230870640.

2. What are the Factors of 230870640?

Answer: Factors of 230870640 are . There are integers that are factors of 230870640

3. How to Find the LCM of 429, 465, 560, 961 ?

Least Common Multiple of 429, 465, 560, 961.

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(429, 465, 560, 961) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 31 x 31 = 230870640.