Least Common Multiple of 501/276, 9810/9475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 501/276, 9810/9475 quickly i.e. 1638270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/276, 9810/9475 is 1638270.

LCM(501/276, 9810/9475) = 1638270

LCM of 501/276, 9810/9475

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 501/276,9810/9475

Given numbers are 501/276,9810/9475

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 501,9810

Least Common Multiple of Numerators i.e. LCM of 501,9810 is 1638270.

GCF of Denominators means GCF of 276,9475 as per the given fractions.

GCF of 276,9475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,9810

LCM of Fractions 501/276,9810/9475 is 1638270

3 501, 9810
167, 3270

∴ So the LCM of the given numbers is 3 x 167 x 3270 = 1638270

Least Common Multiple of 501,9810 with GCF Formula

Least Common Multiple of 501,9810 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 501,9810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,9810) = 3

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

GCF(501,9810) x common factors =3 x 1 = 3

LCM(501,9810) = ( 501 × 9810 ) / 3

LCM(501,9810) = 4914810 / 3

LCM(501,9810) = 1638270


Lets's calculate GCF of 276,9475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1638270/1

Therefore the LCM of Fractions 501/276,9810/9475 is 1638270

Greatest Common Factor of 276,9475 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,9475 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 9475

List of positive integer factors of 9475 that divides 9475 without a remainder.

1,5,25,379,1895,9475

Greatest Common Factor

We found the factors 276,9475 . The biggest common factor number is the GCF number.
So the greatest common factor 276,9475 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 501/276, 9810/9475

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 501/276, 9810/9475?

Answer: LCM of Numerators as per given numbers 501/276, 9810/9475 is

LCM of Numerators i.e. for 501,9810 is 1638270

GCF of denominators i.e. for 276,9475 is 1.

Thus, LCM of Fractions is 1638270.Finally, LCM of Fractions for 501/276, 9810/9475 is 1638270.