Least Common Multiple of 174/96, 976/52, 902/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 174/96, 976/52, 902/19 quickly i.e. 38295312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 174/96, 976/52, 902/19 is 38295312.

LCM(174/96, 976/52, 902/19) = 38295312

LCM of 174/96, 976/52, 902/19

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 174/96,976/52,902/19

Given numbers are 174/96,976/52,902/19

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 174,976,902

Least Common Multiple of Numerators i.e. LCM of 174,976,902 is 38295312.

GCF of Denominators means GCF of 96,52,19 as per the given fractions.

GCF of 96,52,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 174,976,902

LCM of Fractions 174/96,976/52,902/19 is 38295312

2 174, 976, 902
87, 488, 451

∴ So the LCM of the given numbers is 2 x 87 x 488 x 451 = 38295312

Least Common Multiple of 174,976,902 with GCF Formula

Least Common Multiple of 174,976,902 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 174,976,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,976,902) = 2

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

GCF(174,976,902) x common factors =2 x 2 = 4

LCM(174,976,902) = ( 174 × 976 × 902 ) / 4

LCM(174,976,902) = 153181248 / 4

LCM(174,976,902) = 38295312


Lets's calculate GCF of 96,52,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38295312/1

Therefore the LCM of Fractions 174/96,976/52,902/19 is 38295312

Greatest Common Factor of 96,52,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,52,19 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Greatest Common Factor

We found the factors 96,52,19 . The biggest common factor number is the GCF number.
So the greatest common factor 96,52,19 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 174/96, 976/52, 902/19

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 174/96, 976/52, 902/19?

Answer: LCM of Numerators as per given numbers 174/96, 976/52, 902/19 is

LCM of Numerators i.e. for 174,976,902 is 38295312

GCF of denominators i.e. for 96,52,19 is 1.

Thus, LCM of Fractions is 38295312.Finally, LCM of Fractions for 174/96, 976/52, 902/19 is 38295312.