Least Common Multiple of 86/79, 53/77, 86/29, 86/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/79, 53/77, 86/29, 86/751 quickly i.e. 4558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/79, 53/77, 86/29, 86/751 is 4558.

LCM(86/79, 53/77, 86/29, 86/751) = 4558

LCM of 86/79, 53/77, 86/29, 86/751

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 86/79,53/77,86/29,86/751

Given numbers are 86/79,53/77,86/29,86/751

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 86,53,86,86

Least Common Multiple of Numerators i.e. LCM of 86,53,86,86 is 4558.

GCF of Denominators means GCF of 79,77,29,751 as per the given fractions.

GCF of 79,77,29,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,53,86,86

LCM of Fractions 86/79,53/77,86/29,86/751 is 4558

2 86, 53, 86, 86
43 43, 53, 43, 43
1, 53, 1, 1

∴ So the LCM of the given numbers is 2 x 43 x 1 x 53 x 1 x 1 = 4558

Least Common Multiple of 86,53,86,86 with GCF Formula

Least Common Multiple of 86,53,86,86 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 86,53,86,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,53,86,86) = 1

common factors(in case of two or more numbers have common factors) = 7396

GCF(86,53,86,86) x common factors =1 x 7396 = 7396

LCM(86,53,86,86) = ( 86 × 53 × 86 × 86 ) / 7396

LCM(86,53,86,86) = 33710968 / 7396

LCM(86,53,86,86) = 4558


Lets's calculate GCF of 79,77,29,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4558/1

Therefore the LCM of Fractions 86/79,53/77,86/29,86/751 is 4558

Greatest Common Factor of 79,77,29,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,77,29,751 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 79,77,29,751 . The biggest common factor number is the GCF number.
So the greatest common factor 79,77,29,751 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/79, 53/77, 86/29, 86/751

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 86/79, 53/77, 86/29, 86/751?

Answer: LCM of Numerators as per given numbers 86/79, 53/77, 86/29, 86/751 is

LCM of Numerators i.e. for 86,53,86,86 is 4558

GCF of denominators i.e. for 79,77,29,751 is 1.

Thus, LCM of Fractions is 4558.Finally, LCM of Fractions for 86/79, 53/77, 86/29, 86/751 is 4558.