Least Common Multiple of 457/96, 300/22, 842/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/96, 300/22, 842/527 quickly i.e. 57719100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/96, 300/22, 842/527 is 57719100.

LCM(457/96, 300/22, 842/527) = 57719100

LCM of 457/96, 300/22, 842/527

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 457/96,300/22,842/527

Given numbers are 457/96,300/22,842/527

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 457,300,842

Least Common Multiple of Numerators i.e. LCM of 457,300,842 is 57719100.

GCF of Denominators means GCF of 96,22,527 as per the given fractions.

GCF of 96,22,527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,300,842

LCM of Fractions 457/96,300/22,842/527 is 57719100

2 457, 300, 842
457, 150, 421

∴ So the LCM of the given numbers is 2 x 457 x 150 x 421 = 57719100

Least Common Multiple of 457,300,842 with GCF Formula

Least Common Multiple of 457,300,842 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 457,300,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,300,842) = 1

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

GCF(457,300,842) x common factors =1 x 2 = 2

LCM(457,300,842) = ( 457 × 300 × 842 ) / 2

LCM(457,300,842) = 115438200 / 2

LCM(457,300,842) = 57719100


Lets's calculate GCF of 96,22,527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57719100/1

Therefore the LCM of Fractions 457/96,300/22,842/527 is 57719100

Greatest Common Factor of 96,22,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,22,527 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 96,22,527 . The biggest common factor number is the GCF number.
So the greatest common factor 96,22,527 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 457/96, 300/22, 842/527

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 457/96, 300/22, 842/527?

Answer: LCM of Numerators as per given numbers 457/96, 300/22, 842/527 is

LCM of Numerators i.e. for 457,300,842 is 57719100

GCF of denominators i.e. for 96,22,527 is 1.

Thus, LCM of Fractions is 57719100.Finally, LCM of Fractions for 457/96, 300/22, 842/527 is 57719100.