Least Common Multiple of 670/731, 657/234, 315/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/731, 657/234, 315/577 quickly i.e. 3081330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/731, 657/234, 315/577 is 3081330.

LCM(670/731, 657/234, 315/577) = 3081330

LCM of 670/731, 657/234, 315/577

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 670/731,657/234,315/577

Given numbers are 670/731,657/234,315/577

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 670,657,315

Least Common Multiple of Numerators i.e. LCM of 670,657,315 is 3081330.

GCF of Denominators means GCF of 731,234,577 as per the given fractions.

GCF of 731,234,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,657,315

LCM of Fractions 670/731,657/234,315/577 is 3081330

3 670, 657, 315
3 670, 219, 105
5 670, 73, 35
134, 73, 7

∴ So the LCM of the given numbers is 3 x 3 x 5 x 134 x 73 x 7 = 3081330

Least Common Multiple of 670,657,315 with GCF Formula

Least Common Multiple of 670,657,315 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 670,657,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,657,315) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(670,657,315) x common factors =1 x 45 = 45

LCM(670,657,315) = ( 670 × 657 × 315 ) / 45

LCM(670,657,315) = 138659850 / 45

LCM(670,657,315) = 3081330


Lets's calculate GCF of 731,234,577

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3081330/1

Therefore the LCM of Fractions 670/731,657/234,315/577 is 3081330

Greatest Common Factor of 731,234,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,234,577 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 731,234,577 . The biggest common factor number is the GCF number.
So the greatest common factor 731,234,577 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 670/731, 657/234, 315/577

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 670/731, 657/234, 315/577?

Answer: LCM of Numerators as per given numbers 670/731, 657/234, 315/577 is

LCM of Numerators i.e. for 670,657,315 is 3081330

GCF of denominators i.e. for 731,234,577 is 1.

Thus, LCM of Fractions is 3081330.Finally, LCM of Fractions for 670/731, 657/234, 315/577 is 3081330.