Least Common Multiple of 862/64, 451/40, 546/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/64, 451/40, 546/537 quickly i.e. 106132026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/64, 451/40, 546/537 is 106132026.

LCM(862/64, 451/40, 546/537) = 106132026

LCM of 862/64, 451/40, 546/537

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 862/64,451/40,546/537

Given numbers are 862/64,451/40,546/537

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 862,451,546

Least Common Multiple of Numerators i.e. LCM of 862,451,546 is 106132026.

GCF of Denominators means GCF of 64,40,537 as per the given fractions.

GCF of 64,40,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,451,546

LCM of Fractions 862/64,451/40,546/537 is 106132026

2 862, 451, 546
431, 451, 273

∴ So the LCM of the given numbers is 2 x 431 x 451 x 273 = 106132026

Least Common Multiple of 862,451,546 with GCF Formula

Least Common Multiple of 862,451,546 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 862,451,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,451,546) = 1

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

GCF(862,451,546) x common factors =1 x 2 = 2

LCM(862,451,546) = ( 862 × 451 × 546 ) / 2

LCM(862,451,546) = 212264052 / 2

LCM(862,451,546) = 106132026


Lets's calculate GCF of 64,40,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106132026/1

Therefore the LCM of Fractions 862/64,451/40,546/537 is 106132026

Greatest Common Factor of 64,40,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,40,537 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

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

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 64,40,537 . The biggest common factor number is the GCF number.
So the greatest common factor 64,40,537 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 862/64, 451/40, 546/537

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 862/64, 451/40, 546/537?

Answer: LCM of Numerators as per given numbers 862/64, 451/40, 546/537 is

LCM of Numerators i.e. for 862,451,546 is 106132026

GCF of denominators i.e. for 64,40,537 is 1.

Thus, LCM of Fractions is 106132026.Finally, LCM of Fractions for 862/64, 451/40, 546/537 is 106132026.