Least Common Multiple of 45/875, 199/698, 731/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/875, 199/698, 731/244 quickly i.e. 6546105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/875, 199/698, 731/244 is 6546105.

LCM(45/875, 199/698, 731/244) = 6546105

LCM of 45/875, 199/698, 731/244

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 45/875,199/698,731/244

Given numbers are 45/875,199/698,731/244

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 45,199,731

Least Common Multiple of Numerators i.e. LCM of 45,199,731 is 6546105.

GCF of Denominators means GCF of 875,698,244 as per the given fractions.

GCF of 875,698,244 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,199,731

LCM of Fractions 45/875,199/698,731/244 is 6546105

Given numbers has no common factors except 1. So, there LCM is their product i.e 6546105

Least Common Multiple of 45,199,731 with GCF Formula

Least Common Multiple of 45,199,731 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 45,199,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,199,731) = 1

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

GCF(45,199,731) x common factors =1 x 1 = 1

LCM(45,199,731) = ( 45 × 199 × 731 ) / 1

LCM(45,199,731) = 6546105 / 1

LCM(45,199,731) = 6546105


Lets's calculate GCF of 875,698,244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6546105/1

Therefore the LCM of Fractions 45/875,199/698,731/244 is 6546105

Greatest Common Factor of 875,698,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,698,244 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 875,698,244 . The biggest common factor number is the GCF number.
So the greatest common factor 875,698,244 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 45/875, 199/698, 731/244

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 45/875, 199/698, 731/244?

Answer: LCM of Numerators as per given numbers 45/875, 199/698, 731/244 is

LCM of Numerators i.e. for 45,199,731 is 6546105

GCF of denominators i.e. for 875,698,244 is 1.

Thus, LCM of Fractions is 6546105.Finally, LCM of Fractions for 45/875, 199/698, 731/244 is 6546105.