Least Common Multiple of 100/52, 262/6086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 100/52, 262/6086 quickly i.e. 6550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/52, 262/6086 is 6550.

LCM(100/52, 262/6086) = 6550

LCM of 100/52, 262/6086

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 100/52,262/6086

Given numbers are 100/52,262/6086

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 100,262

Least Common Multiple of Numerators i.e. LCM of 100,262 is 13100.

GCF of Denominators means GCF of 52,6086 as per the given fractions.

GCF of 52,6086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,262

LCM of Fractions 100/52,262/6086 is 6550

2 100, 262
50, 131

∴ So the LCM of the given numbers is 2 x 50 x 131 = 13100

Least Common Multiple of 100,262 with GCF Formula

Least Common Multiple of 100,262 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 100,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,262) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(100,262) x common factors =2 x 1 = 2

LCM(100,262) = ( 100 × 262 ) / 2

LCM(100,262) = 26200 / 2

LCM(100,262) = 13100


Lets's calculate GCF of 52,6086

2 52, 6086
26, 3043

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13100/2

Therefore the LCM of Fractions 100/52,262/6086 is 6550

Greatest Common Factor of 52,6086 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,6086 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1,2,17,34,179,358,3043,6086

Greatest Common Factor

We found the factors 52,6086 . The biggest common factor number is the GCF number.
So the greatest common factor 52,6086 is 2.


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 100/52, 262/6086

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 100/52, 262/6086?

Answer: LCM of Numerators as per given numbers 100/52, 262/6086 is

LCM of Numerators i.e. for 100,262 is 13100

GCF of denominators i.e. for 52,6086 is 2.

Thus, LCM of Fractions is 6550.Finally, LCM of Fractions for 100/52, 262/6086 is 6550.