Least Common Multiple of 715, 248, 704, 350

Q: How to Find the LCM of 715, 248, 704, 350 ?

Least Common Multiple of 715, 248, 704, 350 = 49649600 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(715, 248, 704, 350) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 13 x 31 = 49649600.

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 715, 248, 704, 350 i.e. 49649600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 715, 248, 704, 350 is 49649600.

LCM(715, 248, 704, 350) = 49649600

LCM of 715, 248, 704, 350

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

Least Common Multiple of 715, 248, 704, 350 by common division method
Least Common Multiple of 715, 248, 704, 350 with GCF Formula

Least Common Multiple of 715,248,704,350

Least Common Multiple (LCM) of 715,248,704,350 is 49649600

2	715, 248, 704, 350
2	715, 124, 352, 175
2	715, 62, 176, 175
5	715, 31, 88, 175
11	143, 31, 88, 35
	13, 31, 8, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 13 x 31 x 8 x 35 = 49649600

Least Common Multiple of 715,248,704,350 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 715,248,704,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,248,704,350) = 1

common factors(in case of two or more numbers have common factors) = 880

GCF(715,248,704,350) x common factors =1 x 880 = 880

LCM(715,248,704,350) = ( 715 × 248 × 704 × 350 ) / 880

LCM(715,248,704,350) = 43691648000 / 880

LCM(715,248,704,350) = 49649600

∴ Least Common Multiple of 715,248,704,350 is 49649600

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 715, 248, 704, 350

1. What is the LCM of 715, 248, 704, 350?

Answer: LCM of 715, 248, 704, 350 is 49649600.

2. What are the Factors of 49649600?

Answer: Factors of 49649600 are . There are integers that are factors of 49649600

3. How to Find the LCM of 715, 248, 704, 350 ?

Least Common Multiple of 715, 248, 704, 350.

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(715, 248, 704, 350) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 13 x 31 = 49649600.