Least Common Multiple of 981, 768, 984, 399, 440

Q: How to Find the LCM of 981, 768, 984, 399, 440 ?

Least Common Multiple of 981, 768, 984, 399, 440 = 75319453440 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(981, 768, 984, 399, 440) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19 x 41 x 109 = 75319453440.

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 981, 768, 984, 399, 440 i.e. 75319453440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 981, 768, 984, 399, 440 is 75319453440.

LCM(981, 768, 984, 399, 440) = 75319453440

LCM of 981, 768, 984, 399, 440

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

Least Common Multiple of 981, 768, 984, 399, 440 by common division method
Least Common Multiple of 981, 768, 984, 399, 440 with GCF Formula

Least Common Multiple of 981,768,984,399,440

Least Common Multiple (LCM) of 981,768,984,399,440 is 75319453440

2	981, 768, 984, 399, 440
2	981, 384, 492, 399, 220
2	981, 192, 246, 399, 110
3	981, 96, 123, 399, 55
	327, 32, 41, 133, 55

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 327 x 32 x 41 x 133 x 55 = 75319453440

Least Common Multiple of 981,768,984,399,440 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 981,768,984,399,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,768,984,399,440) = 1

common factors(in case of two or more numbers have common factors) = 1728

GCF(981,768,984,399,440) x common factors =1 x 1728 = 1728

LCM(981,768,984,399,440) = ( 981 × 768 × 984 × 399 × 440 ) / 1728

LCM(981,768,984,399,440) = 130152015544320 / 1728

LCM(981,768,984,399,440) = 75319453440

∴ Least Common Multiple of 981,768,984,399,440 is 75319453440

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 981, 768, 984, 399, 440

1. What is the LCM of 981, 768, 984, 399, 440?

Answer: LCM of 981, 768, 984, 399, 440 is 75319453440.

2. What are the Factors of 75319453440?

Answer: Factors of 75319453440 are . There are integers that are factors of 75319453440

3. How to Find the LCM of 981, 768, 984, 399, 440 ?

Least Common Multiple of 981, 768, 984, 399, 440.

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(981, 768, 984, 399, 440) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 19 x 41 x 109 = 75319453440.