Least Common Multiple of 762/59, 238/8264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 762/59, 238/8264 quickly i.e. 90678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/59, 238/8264 is 90678.

LCM(762/59, 238/8264) = 90678

LCM of 762/59, 238/8264

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 762/59,238/8264

Given numbers are 762/59,238/8264

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 762,238

Least Common Multiple of Numerators i.e. LCM of 762,238 is 90678.

GCF of Denominators means GCF of 59,8264 as per the given fractions.

GCF of 59,8264 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,238

LCM of Fractions 762/59,238/8264 is 90678

2 762, 238
381, 119

∴ So the LCM of the given numbers is 2 x 381 x 119 = 90678

Least Common Multiple of 762,238 with GCF Formula

Least Common Multiple of 762,238 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 762,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,238) = 2

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

GCF(762,238) x common factors =2 x 1 = 2

LCM(762,238) = ( 762 × 238 ) / 2

LCM(762,238) = 181356 / 2

LCM(762,238) = 90678


Lets's calculate GCF of 59,8264

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90678/1

Therefore the LCM of Fractions 762/59,238/8264 is 90678

Greatest Common Factor of 59,8264 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,8264 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 8264

List of positive integer factors of 8264 that divides 8264 without a remainder.

1,2,4,8,1033,2066,4132,8264

Greatest Common Factor

We found the factors 59,8264 . The biggest common factor number is the GCF number.
So the greatest common factor 59,8264 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 762/59, 238/8264

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 762/59, 238/8264?

Answer: LCM of Numerators as per given numbers 762/59, 238/8264 is

LCM of Numerators i.e. for 762,238 is 90678

GCF of denominators i.e. for 59,8264 is 1.

Thus, LCM of Fractions is 90678.Finally, LCM of Fractions for 762/59, 238/8264 is 90678.