Least Common Multiple of 91/42, 62/15, 262/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/42, 62/15, 262/49 quickly i.e. 739102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/42, 62/15, 262/49 is 739102.

LCM(91/42, 62/15, 262/49) = 739102

LCM of 91/42, 62/15, 262/49

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 91/42,62/15,262/49

Given numbers are 91/42,62/15,262/49

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 91,62,262

Least Common Multiple of Numerators i.e. LCM of 91,62,262 is 739102.

GCF of Denominators means GCF of 42,15,49 as per the given fractions.

GCF of 42,15,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,62,262

LCM of Fractions 91/42,62/15,262/49 is 739102

2 91, 62, 262
91, 31, 131

∴ So the LCM of the given numbers is 2 x 91 x 31 x 131 = 739102

Least Common Multiple of 91,62,262 with GCF Formula

Least Common Multiple of 91,62,262 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 91,62,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,62,262) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,62,262) x common factors =1 x 2 = 2

LCM(91,62,262) = ( 91 × 62 × 262 ) / 2

LCM(91,62,262) = 1478204 / 2

LCM(91,62,262) = 739102


Lets's calculate GCF of 42,15,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739102/1

Therefore the LCM of Fractions 91/42,62/15,262/49 is 739102

Greatest Common Factor of 42,15,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,15,49 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 42,15,49 . The biggest common factor number is the GCF number.
So the greatest common factor 42,15,49 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 91/42, 62/15, 262/49

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 91/42, 62/15, 262/49?

Answer: LCM of Numerators as per given numbers 91/42, 62/15, 262/49 is

LCM of Numerators i.e. for 91,62,262 is 739102

GCF of denominators i.e. for 42,15,49 is 1.

Thus, LCM of Fractions is 739102.Finally, LCM of Fractions for 91/42, 62/15, 262/49 is 739102.