Least Common Multiple of 74/68, 76/91, 123/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/68, 76/91, 123/755 quickly i.e. 345876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/68, 76/91, 123/755 is 345876.

LCM(74/68, 76/91, 123/755) = 345876

LCM of 74/68, 76/91, 123/755

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 74/68,76/91,123/755

Given numbers are 74/68,76/91,123/755

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 74,76,123

Least Common Multiple of Numerators i.e. LCM of 74,76,123 is 345876.

GCF of Denominators means GCF of 68,91,755 as per the given fractions.

GCF of 68,91,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,76,123

LCM of Fractions 74/68,76/91,123/755 is 345876

2 74, 76, 123
37, 38, 123

∴ So the LCM of the given numbers is 2 x 37 x 38 x 123 = 345876

Least Common Multiple of 74,76,123 with GCF Formula

Least Common Multiple of 74,76,123 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 74,76,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,76,123) = 1

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

GCF(74,76,123) x common factors =1 x 2 = 2

LCM(74,76,123) = ( 74 × 76 × 123 ) / 2

LCM(74,76,123) = 691752 / 2

LCM(74,76,123) = 345876


Lets's calculate GCF of 68,91,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345876/1

Therefore the LCM of Fractions 74/68,76/91,123/755 is 345876

Greatest Common Factor of 68,91,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,91,755 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 68,91,755 . The biggest common factor number is the GCF number.
So the greatest common factor 68,91,755 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 74/68, 76/91, 123/755

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 74/68, 76/91, 123/755?

Answer: LCM of Numerators as per given numbers 74/68, 76/91, 123/755 is

LCM of Numerators i.e. for 74,76,123 is 345876

GCF of denominators i.e. for 68,91,755 is 1.

Thus, LCM of Fractions is 345876.Finally, LCM of Fractions for 74/68, 76/91, 123/755 is 345876.