Least Common Multiple of 381, 755, 240, 152, 585

Q: How to Find the LCM of 381, 755, 240, 152, 585 ?

Least Common Multiple of 381, 755, 240, 152, 585 = 3410437680 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(381, 755, 240, 152, 585) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 127 x 151 = 3410437680.

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 381, 755, 240, 152, 585 i.e. 3410437680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 381, 755, 240, 152, 585 is 3410437680.

LCM(381, 755, 240, 152, 585) = 3410437680

LCM of 381, 755, 240, 152, 585

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

Least Common Multiple of 381, 755, 240, 152, 585 by common division method
Least Common Multiple of 381, 755, 240, 152, 585 with GCF Formula

Least Common Multiple of 381,755,240,152,585

Least Common Multiple (LCM) of 381,755,240,152,585 is 3410437680

2	381, 755, 240, 152, 585
2	381, 755, 120, 76, 585
2	381, 755, 60, 38, 585
3	381, 755, 30, 19, 585
5	127, 755, 10, 19, 195
	127, 151, 2, 19, 39

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 127 x 151 x 2 x 19 x 39 = 3410437680

Least Common Multiple of 381,755,240,152,585 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 381,755,240,152,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,755,240,152,585) = 1

common factors(in case of two or more numbers have common factors) = 1800

GCF(381,755,240,152,585) x common factors =1 x 1800 = 1800

LCM(381,755,240,152,585) = ( 381 × 755 × 240 × 152 × 585 ) / 1800

LCM(381,755,240,152,585) = 6138787824000 / 1800

LCM(381,755,240,152,585) = 3410437680

∴ Least Common Multiple of 381,755,240,152,585 is 3410437680

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 381, 755, 240, 152, 585

1. What is the LCM of 381, 755, 240, 152, 585?

Answer: LCM of 381, 755, 240, 152, 585 is 3410437680.

2. What are the Factors of 3410437680?

Answer: Factors of 3410437680 are . There are integers that are factors of 3410437680

3. How to Find the LCM of 381, 755, 240, 152, 585 ?

Least Common Multiple of 381, 755, 240, 152, 585.

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(381, 755, 240, 152, 585) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 19 x 127 x 151 = 3410437680.