Least Common Multiple of 32/249, 58/775, 974/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/249, 58/775, 974/814 quickly i.e. 451936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/249, 58/775, 974/814 is 451936.

LCM(32/249, 58/775, 974/814) = 451936

LCM of 32/249, 58/775, 974/814

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 32/249,58/775,974/814

Given numbers are 32/249,58/775,974/814

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 32,58,974

Least Common Multiple of Numerators i.e. LCM of 32,58,974 is 451936.

GCF of Denominators means GCF of 249,775,814 as per the given fractions.

GCF of 249,775,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,58,974

LCM of Fractions 32/249,58/775,974/814 is 451936

2 32, 58, 974
16, 29, 487

∴ So the LCM of the given numbers is 2 x 16 x 29 x 487 = 451936

Least Common Multiple of 32,58,974 with GCF Formula

Least Common Multiple of 32,58,974 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 32,58,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,58,974) = 2

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

GCF(32,58,974) x common factors =2 x 2 = 4

LCM(32,58,974) = ( 32 × 58 × 974 ) / 4

LCM(32,58,974) = 1807744 / 4

LCM(32,58,974) = 451936


Lets's calculate GCF of 249,775,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451936/1

Therefore the LCM of Fractions 32/249,58/775,974/814 is 451936

Greatest Common Factor of 249,775,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,775,814 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 249,775,814 . The biggest common factor number is the GCF number.
So the greatest common factor 249,775,814 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 32/249, 58/775, 974/814

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 32/249, 58/775, 974/814?

Answer: LCM of Numerators as per given numbers 32/249, 58/775, 974/814 is

LCM of Numerators i.e. for 32,58,974 is 451936

GCF of denominators i.e. for 249,775,814 is 1.

Thus, LCM of Fractions is 451936.Finally, LCM of Fractions for 32/249, 58/775, 974/814 is 451936.