Least Common Multiple of 692/540, 651/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 692/540, 651/456 quickly i.e. 37541 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 692/540, 651/456 is 37541.

LCM(692/540, 651/456) = 37541

LCM of 692/540, 651/456

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 692/540,651/456

Given numbers are 692/540,651/456

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 692,651

Least Common Multiple of Numerators i.e. LCM of 692,651 is 450492.

GCF of Denominators means GCF of 540,456 as per the given fractions.

GCF of 540,456 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 692,651

LCM of Fractions 692/540,651/456 is 37541

Given numbers has no common factors except 1. So, there LCM is their product i.e 450492

Least Common Multiple of 692,651 with GCF Formula

Least Common Multiple of 692,651 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 692,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,651) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(692,651) x common factors =1 x 1 = 1

LCM(692,651) = ( 692 × 651 ) / 1

LCM(692,651) = 450492 / 1

LCM(692,651) = 450492


Lets's calculate GCF of 540,456

2 540, 456
2 270, 228
3 135, 114
45, 38

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450492/12

Therefore the LCM of Fractions 692/540,651/456 is 37541

Greatest Common Factor of 540,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,456 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 540,456 . The biggest common factor number is the GCF number.
So the greatest common factor 540,456 is 12.


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 692/540, 651/456

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 692/540, 651/456?

Answer: LCM of Numerators as per given numbers 692/540, 651/456 is

LCM of Numerators i.e. for 692,651 is 450492

GCF of denominators i.e. for 540,456 is 12.

Thus, LCM of Fractions is 37541.Finally, LCM of Fractions for 692/540, 651/456 is 37541.