Least Common Multiple of 76/426, 56/748, 496/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/426, 56/748, 496/791 quickly i.e. 65968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/426, 56/748, 496/791 is 65968.

LCM(76/426, 56/748, 496/791) = 65968

LCM of 76/426, 56/748, 496/791

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 76/426,56/748,496/791

Given numbers are 76/426,56/748,496/791

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 76,56,496

Least Common Multiple of Numerators i.e. LCM of 76,56,496 is 65968.

GCF of Denominators means GCF of 426,748,791 as per the given fractions.

GCF of 426,748,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,56,496

LCM of Fractions 76/426,56/748,496/791 is 65968

2 76, 56, 496
2 38, 28, 248
2 19, 14, 124
19, 7, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 7 x 62 = 65968

Least Common Multiple of 76,56,496 with GCF Formula

Least Common Multiple of 76,56,496 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 76,56,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,56,496) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(76,56,496) x common factors =4 x 8 = 32

LCM(76,56,496) = ( 76 × 56 × 496 ) / 32

LCM(76,56,496) = 2110976 / 32

LCM(76,56,496) = 65968


Lets's calculate GCF of 426,748,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65968/1

Therefore the LCM of Fractions 76/426,56/748,496/791 is 65968

Greatest Common Factor of 426,748,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,748,791 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 426,748,791 . The biggest common factor number is the GCF number.
So the greatest common factor 426,748,791 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 76/426, 56/748, 496/791

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 76/426, 56/748, 496/791?

Answer: LCM of Numerators as per given numbers 76/426, 56/748, 496/791 is

LCM of Numerators i.e. for 76,56,496 is 65968

GCF of denominators i.e. for 426,748,791 is 1.

Thus, LCM of Fractions is 65968.Finally, LCM of Fractions for 76/426, 56/748, 496/791 is 65968.