Least Common Multiple of 96/544, 45/891, 650/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/544, 45/891, 650/414 quickly i.e. 93600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/544, 45/891, 650/414 is 93600.

LCM(96/544, 45/891, 650/414) = 93600

LCM of 96/544, 45/891, 650/414

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 96/544,45/891,650/414

Given numbers are 96/544,45/891,650/414

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 96,45,650

Least Common Multiple of Numerators i.e. LCM of 96,45,650 is 93600.

GCF of Denominators means GCF of 544,891,414 as per the given fractions.

GCF of 544,891,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,45,650

LCM of Fractions 96/544,45/891,650/414 is 93600

2 96, 45, 650
3 48, 45, 325
5 16, 15, 325
16, 3, 65

∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 3 x 65 = 93600

Least Common Multiple of 96,45,650 with GCF Formula

Least Common Multiple of 96,45,650 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 96,45,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,45,650) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(96,45,650) x common factors =1 x 30 = 30

LCM(96,45,650) = ( 96 × 45 × 650 ) / 30

LCM(96,45,650) = 2808000 / 30

LCM(96,45,650) = 93600


Lets's calculate GCF of 544,891,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93600/1

Therefore the LCM of Fractions 96/544,45/891,650/414 is 93600

Greatest Common Factor of 544,891,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,891,414 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 544,891,414 . The biggest common factor number is the GCF number.
So the greatest common factor 544,891,414 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 96/544, 45/891, 650/414

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 96/544, 45/891, 650/414?

Answer: LCM of Numerators as per given numbers 96/544, 45/891, 650/414 is

LCM of Numerators i.e. for 96,45,650 is 93600

GCF of denominators i.e. for 544,891,414 is 1.

Thus, LCM of Fractions is 93600.Finally, LCM of Fractions for 96/544, 45/891, 650/414 is 93600.