Least Common Multiple of 762/296, 682/256, 334/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 762/296, 682/256, 334/154 quickly i.e. 21696807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 762/296, 682/256, 334/154 is 21696807.

LCM(762/296, 682/256, 334/154) = 21696807

LCM of 762/296, 682/256, 334/154

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 762/296,682/256,334/154

Given numbers are 762/296,682/256,334/154

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 762,682,334

Least Common Multiple of Numerators i.e. LCM of 762,682,334 is 43393614.

GCF of Denominators means GCF of 296,256,154 as per the given fractions.

GCF of 296,256,154 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 762,682,334

LCM of Fractions 762/296,682/256,334/154 is 21696807

2 762, 682, 334
381, 341, 167

∴ So the LCM of the given numbers is 2 x 381 x 341 x 167 = 43393614

Least Common Multiple of 762,682,334 with GCF Formula

Least Common Multiple of 762,682,334 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 762,682,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,682,334) = 2

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

GCF(762,682,334) x common factors =2 x 2 = 4

LCM(762,682,334) = ( 762 × 682 × 334 ) / 4

LCM(762,682,334) = 173574456 / 4

LCM(762,682,334) = 43393614


Lets's calculate GCF of 296,256,154

2 296, 256, 154
148, 128, 77

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43393614/2

Therefore the LCM of Fractions 762/296,682/256,334/154 is 21696807

Greatest Common Factor of 296,256,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,256,154 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 296,256,154 . The biggest common factor number is the GCF number.
So the greatest common factor 296,256,154 is 2.


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 762/296, 682/256, 334/154

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 762/296, 682/256, 334/154?

Answer: LCM of Numerators as per given numbers 762/296, 682/256, 334/154 is

LCM of Numerators i.e. for 762,682,334 is 43393614

GCF of denominators i.e. for 296,256,154 is 2.

Thus, LCM of Fractions is 21696807.Finally, LCM of Fractions for 762/296, 682/256, 334/154 is 21696807.