Least Common Multiple of 670/75, 379/87, 612/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 670/75, 379/87, 612/696 quickly i.e. 25900860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/75, 379/87, 612/696 is 25900860.

LCM(670/75, 379/87, 612/696) = 25900860

LCM of 670/75, 379/87, 612/696

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 670/75,379/87,612/696

Given numbers are 670/75,379/87,612/696

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 670,379,612

Least Common Multiple of Numerators i.e. LCM of 670,379,612 is 77702580.

GCF of Denominators means GCF of 75,87,696 as per the given fractions.

GCF of 75,87,696 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,379,612

LCM of Fractions 670/75,379/87,612/696 is 25900860

2 670, 379, 612
335, 379, 306

∴ So the LCM of the given numbers is 2 x 335 x 379 x 306 = 77702580

Least Common Multiple of 670,379,612 with GCF Formula

Least Common Multiple of 670,379,612 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 670,379,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,379,612) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(670,379,612) x common factors =1 x 2 = 2

LCM(670,379,612) = ( 670 × 379 × 612 ) / 2

LCM(670,379,612) = 155405160 / 2

LCM(670,379,612) = 77702580


Lets's calculate GCF of 75,87,696

3 75, 87, 696
25, 29, 232

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77702580/3

Therefore the LCM of Fractions 670/75,379/87,612/696 is 25900860

Greatest Common Factor of 75,87,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,87,696 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 75,87,696 . The biggest common factor number is the GCF number.
So the greatest common factor 75,87,696 is 3.


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 670/75, 379/87, 612/696

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 670/75, 379/87, 612/696?

Answer: LCM of Numerators as per given numbers 670/75, 379/87, 612/696 is

LCM of Numerators i.e. for 670,379,612 is 77702580

GCF of denominators i.e. for 75,87,696 is 3.

Thus, LCM of Fractions is 25900860.Finally, LCM of Fractions for 670/75, 379/87, 612/696 is 25900860.