Least Common Multiple of 501/61, 501/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/61, 501/784 quickly i.e. 501 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/61, 501/784 is 501.

LCM(501/61, 501/784) = 501

LCM of 501/61, 501/784

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 501/61,501/784

Given numbers are 501/61,501/784

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 501,501

Least Common Multiple of Numerators i.e. LCM of 501,501 is 501.

GCF of Denominators means GCF of 61,784 as per the given fractions.

GCF of 61,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,501

LCM of Fractions 501/61,501/784 is 501

3 501, 501
167 167, 167
1, 1

∴ So the LCM of the given numbers is 3 x 167 x 1 x 1 = 501

Least Common Multiple of 501,501 with GCF Formula

Least Common Multiple of 501,501 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 501,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,501) = 501

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

GCF(501,501) x common factors =501 x 1 = 501

LCM(501,501) = ( 501 × 501 ) / 501

LCM(501,501) = 251001 / 501

LCM(501,501) = 501


Lets's calculate GCF of 61,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501/1

Therefore the LCM of Fractions 501/61,501/784 is 501

Greatest Common Factor of 61,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,784 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 61,784 . The biggest common factor number is the GCF number.
So the greatest common factor 61,784 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 501/61, 501/784

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 501/61, 501/784?

Answer: LCM of Numerators as per given numbers 501/61, 501/784 is

LCM of Numerators i.e. for 501,501 is 501

GCF of denominators i.e. for 61,784 is 1.

Thus, LCM of Fractions is 501.Finally, LCM of Fractions for 501/61, 501/784 is 501.