Least Common Multiple of 526/42, 5087/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 526/42, 5087/961 quickly i.e. 2675762 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 526/42, 5087/961 is 2675762.

LCM(526/42, 5087/961) = 2675762

LCM of 526/42, 5087/961

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 526/42,5087/961

Given numbers are 526/42,5087/961

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 526,5087

Least Common Multiple of Numerators i.e. LCM of 526,5087 is 2675762.

GCF of Denominators means GCF of 42,961 as per the given fractions.

GCF of 42,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 526,5087

LCM of Fractions 526/42,5087/961 is 2675762

Given numbers has no common factors except 1. So, there LCM is their product i.e 2675762

Least Common Multiple of 526,5087 with GCF Formula

Least Common Multiple of 526,5087 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 526,5087 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,5087) = 1

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

GCF(526,5087) x common factors =1 x 1 = 1

LCM(526,5087) = ( 526 × 5087 ) / 1

LCM(526,5087) = 2675762 / 1

LCM(526,5087) = 2675762


Lets's calculate GCF of 42,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2675762/1

Therefore the LCM of Fractions 526/42,5087/961 is 2675762

Greatest Common Factor of 42,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,961 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 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 42,961 . The biggest common factor number is the GCF number.
So the greatest common factor 42,961 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 526/42, 5087/961

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 526/42, 5087/961?

Answer: LCM of Numerators as per given numbers 526/42, 5087/961 is

LCM of Numerators i.e. for 526,5087 is 2675762

GCF of denominators i.e. for 42,961 is 1.

Thus, LCM of Fractions is 2675762.Finally, LCM of Fractions for 526/42, 5087/961 is 2675762.