Least Common Multiple of 93/476, 540/149, 656/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/476, 540/149, 656/292 quickly i.e. 2745360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/476, 540/149, 656/292 is 2745360.

LCM(93/476, 540/149, 656/292) = 2745360

LCM of 93/476, 540/149, 656/292

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 93/476,540/149,656/292

Given numbers are 93/476,540/149,656/292

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 93,540,656

Least Common Multiple of Numerators i.e. LCM of 93,540,656 is 2745360.

GCF of Denominators means GCF of 476,149,292 as per the given fractions.

GCF of 476,149,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,540,656

LCM of Fractions 93/476,540/149,656/292 is 2745360

2 93, 540, 656
2 93, 270, 328
3 93, 135, 164
31, 45, 164

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 45 x 164 = 2745360

Least Common Multiple of 93,540,656 with GCF Formula

Least Common Multiple of 93,540,656 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 93,540,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,540,656) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(93,540,656) x common factors =1 x 12 = 12

LCM(93,540,656) = ( 93 × 540 × 656 ) / 12

LCM(93,540,656) = 32944320 / 12

LCM(93,540,656) = 2745360


Lets's calculate GCF of 476,149,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2745360/1

Therefore the LCM of Fractions 93/476,540/149,656/292 is 2745360

Greatest Common Factor of 476,149,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,149,292 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 476,149,292 . The biggest common factor number is the GCF number.
So the greatest common factor 476,149,292 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 93/476, 540/149, 656/292

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 93/476, 540/149, 656/292?

Answer: LCM of Numerators as per given numbers 93/476, 540/149, 656/292 is

LCM of Numerators i.e. for 93,540,656 is 2745360

GCF of denominators i.e. for 476,149,292 is 1.

Thus, LCM of Fractions is 2745360.Finally, LCM of Fractions for 93/476, 540/149, 656/292 is 2745360.