Least Common Multiple of 977/224, 274/600, 515/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/224, 274/600, 515/545 quickly i.e. 137864470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/224, 274/600, 515/545 is 137864470.

LCM(977/224, 274/600, 515/545) = 137864470

LCM of 977/224, 274/600, 515/545

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 977/224,274/600,515/545

Given numbers are 977/224,274/600,515/545

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 977,274,515

Least Common Multiple of Numerators i.e. LCM of 977,274,515 is 137864470.

GCF of Denominators means GCF of 224,600,545 as per the given fractions.

GCF of 224,600,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,274,515

LCM of Fractions 977/224,274/600,515/545 is 137864470

Given numbers has no common factors except 1. So, there LCM is their product i.e 137864470

Least Common Multiple of 977,274,515 with GCF Formula

Least Common Multiple of 977,274,515 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 977,274,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,274,515) = 1

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

GCF(977,274,515) x common factors =1 x 1 = 1

LCM(977,274,515) = ( 977 × 274 × 515 ) / 1

LCM(977,274,515) = 137864470 / 1

LCM(977,274,515) = 137864470


Lets's calculate GCF of 224,600,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137864470/1

Therefore the LCM of Fractions 977/224,274/600,515/545 is 137864470

Greatest Common Factor of 224,600,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,600,545 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 224,600,545 . The biggest common factor number is the GCF number.
So the greatest common factor 224,600,545 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 977/224, 274/600, 515/545

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 977/224, 274/600, 515/545?

Answer: LCM of Numerators as per given numbers 977/224, 274/600, 515/545 is

LCM of Numerators i.e. for 977,274,515 is 137864470

GCF of denominators i.e. for 224,600,545 is 1.

Thus, LCM of Fractions is 137864470.Finally, LCM of Fractions for 977/224, 274/600, 515/545 is 137864470.