Least Common Multiple of 49/901, 31/508, 393/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/901, 31/508, 393/820 quickly i.e. 596967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/901, 31/508, 393/820 is 596967.

LCM(49/901, 31/508, 393/820) = 596967

LCM of 49/901, 31/508, 393/820

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 49/901,31/508,393/820

Given numbers are 49/901,31/508,393/820

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 49,31,393

Least Common Multiple of Numerators i.e. LCM of 49,31,393 is 596967.

GCF of Denominators means GCF of 901,508,820 as per the given fractions.

GCF of 901,508,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,31,393

LCM of Fractions 49/901,31/508,393/820 is 596967

Given numbers has no common factors except 1. So, there LCM is their product i.e 596967

Least Common Multiple of 49,31,393 with GCF Formula

Least Common Multiple of 49,31,393 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 49,31,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,31,393) = 1

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

GCF(49,31,393) x common factors =1 x 1 = 1

LCM(49,31,393) = ( 49 × 31 × 393 ) / 1

LCM(49,31,393) = 596967 / 1

LCM(49,31,393) = 596967


Lets's calculate GCF of 901,508,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 596967/1

Therefore the LCM of Fractions 49/901,31/508,393/820 is 596967

Greatest Common Factor of 901,508,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,508,820 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 901,508,820 . The biggest common factor number is the GCF number.
So the greatest common factor 901,508,820 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 49/901, 31/508, 393/820

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 49/901, 31/508, 393/820?

Answer: LCM of Numerators as per given numbers 49/901, 31/508, 393/820 is

LCM of Numerators i.e. for 49,31,393 is 596967

GCF of denominators i.e. for 901,508,820 is 1.

Thus, LCM of Fractions is 596967.Finally, LCM of Fractions for 49/901, 31/508, 393/820 is 596967.