Least Common Multiple of 91/469, 450/862, 728/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/469, 450/862, 728/251 quickly i.e. 163800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/469, 450/862, 728/251 is 163800.

LCM(91/469, 450/862, 728/251) = 163800

LCM of 91/469, 450/862, 728/251

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 91/469,450/862,728/251

Given numbers are 91/469,450/862,728/251

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 91,450,728

Least Common Multiple of Numerators i.e. LCM of 91,450,728 is 163800.

GCF of Denominators means GCF of 469,862,251 as per the given fractions.

GCF of 469,862,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,450,728

LCM of Fractions 91/469,450/862,728/251 is 163800

2 91, 450, 728
7 91, 225, 364
13 13, 225, 52
1, 225, 4

∴ So the LCM of the given numbers is 2 x 7 x 13 x 1 x 225 x 4 = 163800

Least Common Multiple of 91,450,728 with GCF Formula

Least Common Multiple of 91,450,728 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 91,450,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,450,728) = 1

common factors(in case of two or more numbers have common factors) = 182

GCF(91,450,728) x common factors =1 x 182 = 182

LCM(91,450,728) = ( 91 × 450 × 728 ) / 182

LCM(91,450,728) = 29811600 / 182

LCM(91,450,728) = 163800


Lets's calculate GCF of 469,862,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163800/1

Therefore the LCM of Fractions 91/469,450/862,728/251 is 163800

Greatest Common Factor of 469,862,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,862,251 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 469,862,251 . The biggest common factor number is the GCF number.
So the greatest common factor 469,862,251 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 91/469, 450/862, 728/251

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 91/469, 450/862, 728/251?

Answer: LCM of Numerators as per given numbers 91/469, 450/862, 728/251 is

LCM of Numerators i.e. for 91,450,728 is 163800

GCF of denominators i.e. for 469,862,251 is 1.

Thus, LCM of Fractions is 163800.Finally, LCM of Fractions for 91/469, 450/862, 728/251 is 163800.