Least Common Multiple of 740, 456, 578

Q: How to Find the LCM of 740, 456, 578 ?

Least Common Multiple of 740, 456, 578 = 24380040 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(740, 456, 578) = 2 x 2 x 2 x 3 x 5 x 17 x 17 x 19 x 37 = 24380040.

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 740, 456, 578 i.e. 24380040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 740, 456, 578 is 24380040.

LCM(740, 456, 578) = 24380040

LCM of 740, 456, 578

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

Least Common Multiple of 740, 456, 578 by common division method
Least Common Multiple of 740, 456, 578 with GCF Formula

Least Common Multiple of 740,456,578

Least Common Multiple (LCM) of 740,456,578 is 24380040

2	740, 456, 578
2	370, 228, 289
	185, 114, 289

∴ So the LCM of the given numbers is 2 x 2 x 185 x 114 x 289 = 24380040

Least Common Multiple of 740,456,578 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 740,456,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,456,578) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(740,456,578) x common factors =2 x 4 = 8

LCM(740,456,578) = ( 740 × 456 × 578 ) / 8

LCM(740,456,578) = 195040320 / 8

LCM(740,456,578) = 24380040

∴ Least Common Multiple of 740,456,578 is 24380040

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 740, 456, 578

1. What is the LCM of 740, 456, 578?

Answer: LCM of 740, 456, 578 is 24380040.

2. What are the Factors of 24380040?

Answer: Factors of 24380040 are . There are integers that are factors of 24380040

3. How to Find the LCM of 740, 456, 578 ?

Least Common Multiple of 740, 456, 578.

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(740, 456, 578) = 2 x 2 x 2 x 3 x 5 x 17 x 17 x 19 x 37 = 24380040.