Least Common Multiple of 96/374, 74/348, 742/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/374, 74/348, 742/697 quickly i.e. 1317792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/374, 74/348, 742/697 is 1317792.

LCM(96/374, 74/348, 742/697) = 1317792

LCM of 96/374, 74/348, 742/697

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 96/374,74/348,742/697

Given numbers are 96/374,74/348,742/697

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 96,74,742

Least Common Multiple of Numerators i.e. LCM of 96,74,742 is 1317792.

GCF of Denominators means GCF of 374,348,697 as per the given fractions.

GCF of 374,348,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,74,742

LCM of Fractions 96/374,74/348,742/697 is 1317792

2 96, 74, 742
48, 37, 371

∴ So the LCM of the given numbers is 2 x 48 x 37 x 371 = 1317792

Least Common Multiple of 96,74,742 with GCF Formula

Least Common Multiple of 96,74,742 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 96,74,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,74,742) = 2

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

GCF(96,74,742) x common factors =2 x 2 = 4

LCM(96,74,742) = ( 96 × 74 × 742 ) / 4

LCM(96,74,742) = 5271168 / 4

LCM(96,74,742) = 1317792


Lets's calculate GCF of 374,348,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1317792/1

Therefore the LCM of Fractions 96/374,74/348,742/697 is 1317792

Greatest Common Factor of 374,348,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,348,697 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 374,348,697 . The biggest common factor number is the GCF number.
So the greatest common factor 374,348,697 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 96/374, 74/348, 742/697

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 96/374, 74/348, 742/697?

Answer: LCM of Numerators as per given numbers 96/374, 74/348, 742/697 is

LCM of Numerators i.e. for 96,74,742 is 1317792

GCF of denominators i.e. for 374,348,697 is 1.

Thus, LCM of Fractions is 1317792.Finally, LCM of Fractions for 96/374, 74/348, 742/697 is 1317792.