Least Common Multiple of 744, 120, 771, 396, 510

Q: How to Find the LCM of 744, 120, 771, 396, 510 ?

Least Common Multiple of 744, 120, 771, 396, 510 = 536338440 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(744, 120, 771, 396, 510) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 31 x 257 = 536338440.

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 744, 120, 771, 396, 510 i.e. 536338440 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 120, 771, 396, 510 is 536338440.

LCM(744, 120, 771, 396, 510) = 536338440

LCM of 744, 120, 771, 396, 510

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

Least Common Multiple of 744, 120, 771, 396, 510 by common division method
Least Common Multiple of 744, 120, 771, 396, 510 with GCF Formula

Least Common Multiple of 744,120,771,396,510

Least Common Multiple (LCM) of 744,120,771,396,510 is 536338440

2	744, 120, 771, 396, 510
2	372, 60, 771, 198, 255
2	186, 30, 771, 99, 255
3	93, 15, 771, 99, 255
5	31, 5, 257, 33, 85
	31, 1, 257, 33, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 31 x 1 x 257 x 33 x 17 = 536338440

Least Common Multiple of 744,120,771,396,510 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 744,120,771,396,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,120,771,396,510) = 3

common factors(in case of two or more numbers have common factors) = 8640

GCF(744,120,771,396,510) x common factors =3 x 8640 = 25920

LCM(744,120,771,396,510) = ( 744 × 120 × 771 × 396 × 510 ) / 25920

LCM(744,120,771,396,510) = 13901892364800 / 25920

LCM(744,120,771,396,510) = 536338440

∴ Least Common Multiple of 744,120,771,396,510 is 536338440

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 744, 120, 771, 396, 510

1. What is the LCM of 744, 120, 771, 396, 510?

Answer: LCM of 744, 120, 771, 396, 510 is 536338440.

2. What are the Factors of 536338440?

Answer: Factors of 536338440 are . There are integers that are factors of 536338440

3. How to Find the LCM of 744, 120, 771, 396, 510 ?

Least Common Multiple of 744, 120, 771, 396, 510.

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(744, 120, 771, 396, 510) = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 31 x 257 = 536338440.