Least Common Multiple of 75/14, 95/688, 612/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/14, 95/688, 612/919 quickly i.e. 290700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/14, 95/688, 612/919 is 290700.

LCM(75/14, 95/688, 612/919) = 290700

LCM of 75/14, 95/688, 612/919

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 75/14,95/688,612/919

Given numbers are 75/14,95/688,612/919

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 75,95,612

Least Common Multiple of Numerators i.e. LCM of 75,95,612 is 290700.

GCF of Denominators means GCF of 14,688,919 as per the given fractions.

GCF of 14,688,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,95,612

LCM of Fractions 75/14,95/688,612/919 is 290700

3 75, 95, 612
5 25, 95, 204
5, 19, 204

∴ So the LCM of the given numbers is 3 x 5 x 5 x 19 x 204 = 290700

Least Common Multiple of 75,95,612 with GCF Formula

Least Common Multiple of 75,95,612 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 75,95,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,95,612) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(75,95,612) x common factors =1 x 15 = 15

LCM(75,95,612) = ( 75 × 95 × 612 ) / 15

LCM(75,95,612) = 4360500 / 15

LCM(75,95,612) = 290700


Lets's calculate GCF of 14,688,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290700/1

Therefore the LCM of Fractions 75/14,95/688,612/919 is 290700

Greatest Common Factor of 14,688,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,688,919 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 14,688,919 . The biggest common factor number is the GCF number.
So the greatest common factor 14,688,919 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 75/14, 95/688, 612/919

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 75/14, 95/688, 612/919?

Answer: LCM of Numerators as per given numbers 75/14, 95/688, 612/919 is

LCM of Numerators i.e. for 75,95,612 is 290700

GCF of denominators i.e. for 14,688,919 is 1.

Thus, LCM of Fractions is 290700.Finally, LCM of Fractions for 75/14, 95/688, 612/919 is 290700.