Least Common Multiple of 76/954, 32/534, 276/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/954, 32/534, 276/910 quickly i.e. 20976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/954, 32/534, 276/910 is 20976.

LCM(76/954, 32/534, 276/910) = 20976

LCM of 76/954, 32/534, 276/910

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 76/954,32/534,276/910

Given numbers are 76/954,32/534,276/910

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 76,32,276

Least Common Multiple of Numerators i.e. LCM of 76,32,276 is 41952.

GCF of Denominators means GCF of 954,534,910 as per the given fractions.

GCF of 954,534,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,32,276

LCM of Fractions 76/954,32/534,276/910 is 20976

2 76, 32, 276
2 38, 16, 138
19, 8, 69

∴ So the LCM of the given numbers is 2 x 2 x 19 x 8 x 69 = 41952

Least Common Multiple of 76,32,276 with GCF Formula

Least Common Multiple of 76,32,276 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 76,32,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,32,276) = 4

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

GCF(76,32,276) x common factors =4 x 4 = 16

LCM(76,32,276) = ( 76 × 32 × 276 ) / 16

LCM(76,32,276) = 671232 / 16

LCM(76,32,276) = 41952


Lets's calculate GCF of 954,534,910

2 954, 534, 910
477, 267, 455

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41952/2

Therefore the LCM of Fractions 76/954,32/534,276/910 is 20976

Greatest Common Factor of 954,534,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,534,910 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 954,534,910 . The biggest common factor number is the GCF number.
So the greatest common factor 954,534,910 is 2.


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 76/954, 32/534, 276/910

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 76/954, 32/534, 276/910?

Answer: LCM of Numerators as per given numbers 76/954, 32/534, 276/910 is

LCM of Numerators i.e. for 76,32,276 is 41952

GCF of denominators i.e. for 954,534,910 is 2.

Thus, LCM of Fractions is 20976.Finally, LCM of Fractions for 76/954, 32/534, 276/910 is 20976.