Least Common Multiple of 542/767, 9219/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 542/767, 9219/190 quickly i.e. 4996698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/767, 9219/190 is 4996698.

LCM(542/767, 9219/190) = 4996698

LCM of 542/767, 9219/190

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 542/767,9219/190

Given numbers are 542/767,9219/190

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 542,9219

Least Common Multiple of Numerators i.e. LCM of 542,9219 is 4996698.

GCF of Denominators means GCF of 767,190 as per the given fractions.

GCF of 767,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,9219

LCM of Fractions 542/767,9219/190 is 4996698

Given numbers has no common factors except 1. So, there LCM is their product i.e 4996698

Least Common Multiple of 542,9219 with GCF Formula

Least Common Multiple of 542,9219 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 542,9219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,9219) = 1

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

GCF(542,9219) x common factors =1 x 1 = 1

LCM(542,9219) = ( 542 × 9219 ) / 1

LCM(542,9219) = 4996698 / 1

LCM(542,9219) = 4996698


Lets's calculate GCF of 767,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4996698/1

Therefore the LCM of Fractions 542/767,9219/190 is 4996698

Greatest Common Factor of 767,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,190 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 767,190 . The biggest common factor number is the GCF number.
So the greatest common factor 767,190 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 542/767, 9219/190

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 542/767, 9219/190?

Answer: LCM of Numerators as per given numbers 542/767, 9219/190 is

LCM of Numerators i.e. for 542,9219 is 4996698

GCF of denominators i.e. for 767,190 is 1.

Thus, LCM of Fractions is 4996698.Finally, LCM of Fractions for 542/767, 9219/190 is 4996698.