Least Common Multiple of 19/403, 79/507, 157/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 19/403, 79/507, 157/122 quickly i.e. 235657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/403, 79/507, 157/122 is 235657.

LCM(19/403, 79/507, 157/122) = 235657

LCM of 19/403, 79/507, 157/122

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 19/403,79/507,157/122

Given numbers are 19/403,79/507,157/122

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 19,79,157

Least Common Multiple of Numerators i.e. LCM of 19,79,157 is 235657.

GCF of Denominators means GCF of 403,507,122 as per the given fractions.

GCF of 403,507,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,79,157

LCM of Fractions 19/403,79/507,157/122 is 235657

Given numbers has no common factors except 1. So, there LCM is their product i.e 235657

Least Common Multiple of 19,79,157 with GCF Formula

Least Common Multiple of 19,79,157 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 19,79,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,79,157) = 1

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

GCF(19,79,157) x common factors =1 x 1 = 1

LCM(19,79,157) = ( 19 × 79 × 157 ) / 1

LCM(19,79,157) = 235657 / 1

LCM(19,79,157) = 235657


Lets's calculate GCF of 403,507,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235657/1

Therefore the LCM of Fractions 19/403,79/507,157/122 is 235657

Greatest Common Factor of 403,507,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,507,122 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 403,507,122 . The biggest common factor number is the GCF number.
So the greatest common factor 403,507,122 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 19/403, 79/507, 157/122

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 19/403, 79/507, 157/122?

Answer: LCM of Numerators as per given numbers 19/403, 79/507, 157/122 is

LCM of Numerators i.e. for 19,79,157 is 235657

GCF of denominators i.e. for 403,507,122 is 1.

Thus, LCM of Fractions is 235657.Finally, LCM of Fractions for 19/403, 79/507, 157/122 is 235657.