Least Common Multiple of 974/70, 902/59, 297/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/70, 902/59, 297/164 quickly i.e. 11860398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/70, 902/59, 297/164 is 11860398.

LCM(974/70, 902/59, 297/164) = 11860398

LCM of 974/70, 902/59, 297/164

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 974/70,902/59,297/164

Given numbers are 974/70,902/59,297/164

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 974,902,297

Least Common Multiple of Numerators i.e. LCM of 974,902,297 is 11860398.

GCF of Denominators means GCF of 70,59,164 as per the given fractions.

GCF of 70,59,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,902,297

LCM of Fractions 974/70,902/59,297/164 is 11860398

2 974, 902, 297
11 487, 451, 297
487, 41, 27

∴ So the LCM of the given numbers is 2 x 11 x 487 x 41 x 27 = 11860398

Least Common Multiple of 974,902,297 with GCF Formula

Least Common Multiple of 974,902,297 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 974,902,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,902,297) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(974,902,297) x common factors =1 x 22 = 22

LCM(974,902,297) = ( 974 × 902 × 297 ) / 22

LCM(974,902,297) = 260928756 / 22

LCM(974,902,297) = 11860398


Lets's calculate GCF of 70,59,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11860398/1

Therefore the LCM of Fractions 974/70,902/59,297/164 is 11860398

Greatest Common Factor of 70,59,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,59,164 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 59

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

1,59

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 70,59,164 . The biggest common factor number is the GCF number.
So the greatest common factor 70,59,164 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 974/70, 902/59, 297/164

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 974/70, 902/59, 297/164?

Answer: LCM of Numerators as per given numbers 974/70, 902/59, 297/164 is

LCM of Numerators i.e. for 974,902,297 is 11860398

GCF of denominators i.e. for 70,59,164 is 1.

Thus, LCM of Fractions is 11860398.Finally, LCM of Fractions for 974/70, 902/59, 297/164 is 11860398.