Least Common Multiple of 14/974, 952/165, 248/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/974, 952/165, 248/789 quickly i.e. 29512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/974, 952/165, 248/789 is 29512.

LCM(14/974, 952/165, 248/789) = 29512

LCM of 14/974, 952/165, 248/789

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 14/974,952/165,248/789

Given numbers are 14/974,952/165,248/789

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 14,952,248

Least Common Multiple of Numerators i.e. LCM of 14,952,248 is 29512.

GCF of Denominators means GCF of 974,165,789 as per the given fractions.

GCF of 974,165,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,952,248

LCM of Fractions 14/974,952/165,248/789 is 29512

2 14, 952, 248
2 7, 476, 124
2 7, 238, 62
7 7, 119, 31
1, 17, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 17 x 31 = 29512

Least Common Multiple of 14,952,248 with GCF Formula

Least Common Multiple of 14,952,248 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 14,952,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,952,248) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(14,952,248) x common factors =2 x 56 = 112

LCM(14,952,248) = ( 14 × 952 × 248 ) / 112

LCM(14,952,248) = 3305344 / 112

LCM(14,952,248) = 29512


Lets's calculate GCF of 974,165,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29512/1

Therefore the LCM of Fractions 14/974,952/165,248/789 is 29512

Greatest Common Factor of 974,165,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,165,789 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 974,165,789 . The biggest common factor number is the GCF number.
So the greatest common factor 974,165,789 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 14/974, 952/165, 248/789

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 14/974, 952/165, 248/789?

Answer: LCM of Numerators as per given numbers 14/974, 952/165, 248/789 is

LCM of Numerators i.e. for 14,952,248 is 29512

GCF of denominators i.e. for 974,165,789 is 1.

Thus, LCM of Fractions is 29512.Finally, LCM of Fractions for 14/974, 952/165, 248/789 is 29512.