Least Common Multiple of 63/20, 149/43, 613/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/20, 149/43, 613/762 quickly i.e. 5754231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/20, 149/43, 613/762 is 5754231.

LCM(63/20, 149/43, 613/762) = 5754231

LCM of 63/20, 149/43, 613/762

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 63/20,149/43,613/762

Given numbers are 63/20,149/43,613/762

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 63,149,613

Least Common Multiple of Numerators i.e. LCM of 63,149,613 is 5754231.

GCF of Denominators means GCF of 20,43,762 as per the given fractions.

GCF of 20,43,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,149,613

LCM of Fractions 63/20,149/43,613/762 is 5754231

Given numbers has no common factors except 1. So, there LCM is their product i.e 5754231

Least Common Multiple of 63,149,613 with GCF Formula

Least Common Multiple of 63,149,613 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 63,149,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,149,613) = 1

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

GCF(63,149,613) x common factors =1 x 1 = 1

LCM(63,149,613) = ( 63 × 149 × 613 ) / 1

LCM(63,149,613) = 5754231 / 1

LCM(63,149,613) = 5754231


Lets's calculate GCF of 20,43,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5754231/1

Therefore the LCM of Fractions 63/20,149/43,613/762 is 5754231

Greatest Common Factor of 20,43,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,43,762 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 20,43,762 . The biggest common factor number is the GCF number.
So the greatest common factor 20,43,762 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 63/20, 149/43, 613/762

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 63/20, 149/43, 613/762?

Answer: LCM of Numerators as per given numbers 63/20, 149/43, 613/762 is

LCM of Numerators i.e. for 63,149,613 is 5754231

GCF of denominators i.e. for 20,43,762 is 1.

Thus, LCM of Fractions is 5754231.Finally, LCM of Fractions for 63/20, 149/43, 613/762 is 5754231.