Least Common Multiple of 51/577, 62/215, 749/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/577, 62/215, 749/400 quickly i.e. 2368338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/577, 62/215, 749/400 is 2368338.

LCM(51/577, 62/215, 749/400) = 2368338

LCM of 51/577, 62/215, 749/400

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 51/577,62/215,749/400

Given numbers are 51/577,62/215,749/400

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 51,62,749

Least Common Multiple of Numerators i.e. LCM of 51,62,749 is 2368338.

GCF of Denominators means GCF of 577,215,400 as per the given fractions.

GCF of 577,215,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,62,749

LCM of Fractions 51/577,62/215,749/400 is 2368338

Given numbers has no common factors except 1. So, there LCM is their product i.e 2368338

Least Common Multiple of 51,62,749 with GCF Formula

Least Common Multiple of 51,62,749 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 51,62,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,62,749) = 1

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

GCF(51,62,749) x common factors =1 x 1 = 1

LCM(51,62,749) = ( 51 × 62 × 749 ) / 1

LCM(51,62,749) = 2368338 / 1

LCM(51,62,749) = 2368338


Lets's calculate GCF of 577,215,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2368338/1

Therefore the LCM of Fractions 51/577,62/215,749/400 is 2368338

Greatest Common Factor of 577,215,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,215,400 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 577,215,400 . The biggest common factor number is the GCF number.
So the greatest common factor 577,215,400 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 51/577, 62/215, 749/400

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 51/577, 62/215, 749/400?

Answer: LCM of Numerators as per given numbers 51/577, 62/215, 749/400 is

LCM of Numerators i.e. for 51,62,749 is 2368338

GCF of denominators i.e. for 577,215,400 is 1.

Thus, LCM of Fractions is 2368338.Finally, LCM of Fractions for 51/577, 62/215, 749/400 is 2368338.