Least Common Multiple of 771/531, 5859/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 771/531, 5859/169 quickly i.e. 1505763 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/531, 5859/169 is 1505763.

LCM(771/531, 5859/169) = 1505763

LCM of 771/531, 5859/169

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 771/531,5859/169

Given numbers are 771/531,5859/169

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 771,5859

Least Common Multiple of Numerators i.e. LCM of 771,5859 is 1505763.

GCF of Denominators means GCF of 531,169 as per the given fractions.

GCF of 531,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,5859

LCM of Fractions 771/531,5859/169 is 1505763

3 771, 5859
257, 1953

∴ So the LCM of the given numbers is 3 x 257 x 1953 = 1505763

Least Common Multiple of 771,5859 with GCF Formula

Least Common Multiple of 771,5859 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 771,5859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,5859) = 3

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

GCF(771,5859) x common factors =3 x 1 = 3

LCM(771,5859) = ( 771 × 5859 ) / 3

LCM(771,5859) = 4517289 / 3

LCM(771,5859) = 1505763


Lets's calculate GCF of 531,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1505763/1

Therefore the LCM of Fractions 771/531,5859/169 is 1505763

Greatest Common Factor of 531,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,169 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 531,169 . The biggest common factor number is the GCF number.
So the greatest common factor 531,169 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 771/531, 5859/169

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 771/531, 5859/169?

Answer: LCM of Numerators as per given numbers 771/531, 5859/169 is

LCM of Numerators i.e. for 771,5859 is 1505763

GCF of denominators i.e. for 531,169 is 1.

Thus, LCM of Fractions is 1505763.Finally, LCM of Fractions for 771/531, 5859/169 is 1505763.