Least Common Multiple of 77/30, 438/92, 619/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/30, 438/92, 619/272 quickly i.e. 10438197 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/30, 438/92, 619/272 is 10438197.

LCM(77/30, 438/92, 619/272) = 10438197

LCM of 77/30, 438/92, 619/272

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 77/30,438/92,619/272

Given numbers are 77/30,438/92,619/272

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 77,438,619

Least Common Multiple of Numerators i.e. LCM of 77,438,619 is 20876394.

GCF of Denominators means GCF of 30,92,272 as per the given fractions.

GCF of 30,92,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,438,619

LCM of Fractions 77/30,438/92,619/272 is 10438197

Given numbers has no common factors except 1. So, there LCM is their product i.e 20876394

Least Common Multiple of 77,438,619 with GCF Formula

Least Common Multiple of 77,438,619 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 77,438,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,438,619) = 1

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

GCF(77,438,619) x common factors =1 x 1 = 1

LCM(77,438,619) = ( 77 × 438 × 619 ) / 1

LCM(77,438,619) = 20876394 / 1

LCM(77,438,619) = 20876394


Lets's calculate GCF of 30,92,272

2 30, 92, 272
15, 46, 136

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20876394/2

Therefore the LCM of Fractions 77/30,438/92,619/272 is 10438197

Greatest Common Factor of 30,92,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,92,272 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 30,92,272 . The biggest common factor number is the GCF number.
So the greatest common factor 30,92,272 is 2.


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 77/30, 438/92, 619/272

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 77/30, 438/92, 619/272?

Answer: LCM of Numerators as per given numbers 77/30, 438/92, 619/272 is

LCM of Numerators i.e. for 77,438,619 is 20876394

GCF of denominators i.e. for 30,92,272 is 2.

Thus, LCM of Fractions is 10438197.Finally, LCM of Fractions for 77/30, 438/92, 619/272 is 10438197.