Least Common Multiple of 907/49, 563/1527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 907/49, 563/1527 quickly i.e. 510641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/49, 563/1527 is 510641.

LCM(907/49, 563/1527) = 510641

LCM of 907/49, 563/1527

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 907/49,563/1527

Given numbers are 907/49,563/1527

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 907,563

Least Common Multiple of Numerators i.e. LCM of 907,563 is 510641.

GCF of Denominators means GCF of 49,1527 as per the given fractions.

GCF of 49,1527 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,563

LCM of Fractions 907/49,563/1527 is 510641

Given numbers has no common factors except 1. So, there LCM is their product i.e 510641

Least Common Multiple of 907,563 with GCF Formula

Least Common Multiple of 907,563 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 907,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,563) = 1

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

GCF(907,563) x common factors =1 x 1 = 1

LCM(907,563) = ( 907 × 563 ) / 1

LCM(907,563) = 510641 / 1

LCM(907,563) = 510641


Lets's calculate GCF of 49,1527

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510641/1

Therefore the LCM of Fractions 907/49,563/1527 is 510641

Greatest Common Factor of 49,1527 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,1527 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 1527

List of positive integer factors of 1527 that divides 1527 without a remainder.

1,3,509,1527

Greatest Common Factor

We found the factors 49,1527 . The biggest common factor number is the GCF number.
So the greatest common factor 49,1527 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 907/49, 563/1527

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 907/49, 563/1527?

Answer: LCM of Numerators as per given numbers 907/49, 563/1527 is

LCM of Numerators i.e. for 907,563 is 510641

GCF of denominators i.e. for 49,1527 is 1.

Thus, LCM of Fractions is 510641.Finally, LCM of Fractions for 907/49, 563/1527 is 510641.