Least Common Multiple of 76/914, 29/148, 754/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/914, 29/148, 754/927 quickly i.e. 28652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/914, 29/148, 754/927 is 28652.

LCM(76/914, 29/148, 754/927) = 28652

LCM of 76/914, 29/148, 754/927

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 76/914,29/148,754/927

Given numbers are 76/914,29/148,754/927

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 76,29,754

Least Common Multiple of Numerators i.e. LCM of 76,29,754 is 28652.

GCF of Denominators means GCF of 914,148,927 as per the given fractions.

GCF of 914,148,927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,29,754

LCM of Fractions 76/914,29/148,754/927 is 28652

2 76, 29, 754
29 38, 29, 377
38, 1, 13

∴ So the LCM of the given numbers is 2 x 29 x 38 x 1 x 13 = 28652

Least Common Multiple of 76,29,754 with GCF Formula

Least Common Multiple of 76,29,754 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 76,29,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,29,754) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(76,29,754) x common factors =1 x 58 = 58

LCM(76,29,754) = ( 76 × 29 × 754 ) / 58

LCM(76,29,754) = 1661816 / 58

LCM(76,29,754) = 28652


Lets's calculate GCF of 914,148,927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28652/1

Therefore the LCM of Fractions 76/914,29/148,754/927 is 28652

Greatest Common Factor of 914,148,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,148,927 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Greatest Common Factor

We found the factors 914,148,927 . The biggest common factor number is the GCF number.
So the greatest common factor 914,148,927 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 76/914, 29/148, 754/927

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 76/914, 29/148, 754/927?

Answer: LCM of Numerators as per given numbers 76/914, 29/148, 754/927 is

LCM of Numerators i.e. for 76,29,754 is 28652

GCF of denominators i.e. for 914,148,927 is 1.

Thus, LCM of Fractions is 28652.Finally, LCM of Fractions for 76/914, 29/148, 754/927 is 28652.