Least Common Multiple of 239/74, 490/11, 779/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/74, 490/11, 779/34 quickly i.e. 91228690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/74, 490/11, 779/34 is 91228690.

LCM(239/74, 490/11, 779/34) = 91228690

LCM of 239/74, 490/11, 779/34

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 239/74,490/11,779/34

Given numbers are 239/74,490/11,779/34

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 239,490,779

Least Common Multiple of Numerators i.e. LCM of 239,490,779 is 91228690.

GCF of Denominators means GCF of 74,11,34 as per the given fractions.

GCF of 74,11,34 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,490,779

LCM of Fractions 239/74,490/11,779/34 is 91228690

Given numbers has no common factors except 1. So, there LCM is their product i.e 91228690

Least Common Multiple of 239,490,779 with GCF Formula

Least Common Multiple of 239,490,779 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 239,490,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,490,779) = 1

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

GCF(239,490,779) x common factors =1 x 1 = 1

LCM(239,490,779) = ( 239 × 490 × 779 ) / 1

LCM(239,490,779) = 91228690 / 1

LCM(239,490,779) = 91228690


Lets's calculate GCF of 74,11,34

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91228690/1

Therefore the LCM of Fractions 239/74,490/11,779/34 is 91228690

Greatest Common Factor of 74,11,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,11,34 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 74,11,34 . The biggest common factor number is the GCF number.
So the greatest common factor 74,11,34 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 239/74, 490/11, 779/34

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 239/74, 490/11, 779/34?

Answer: LCM of Numerators as per given numbers 239/74, 490/11, 779/34 is

LCM of Numerators i.e. for 239,490,779 is 91228690

GCF of denominators i.e. for 74,11,34 is 1.

Thus, LCM of Fractions is 91228690.Finally, LCM of Fractions for 239/74, 490/11, 779/34 is 91228690.