Least Common Multiple of 49/30, 568/72, 951/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/30, 568/72, 951/338 quickly i.e. 13234116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/30, 568/72, 951/338 is 13234116.

LCM(49/30, 568/72, 951/338) = 13234116

LCM of 49/30, 568/72, 951/338

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 49/30,568/72,951/338

Given numbers are 49/30,568/72,951/338

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 49,568,951

Least Common Multiple of Numerators i.e. LCM of 49,568,951 is 26468232.

GCF of Denominators means GCF of 30,72,338 as per the given fractions.

GCF of 30,72,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,568,951

LCM of Fractions 49/30,568/72,951/338 is 13234116

Given numbers has no common factors except 1. So, there LCM is their product i.e 26468232

Least Common Multiple of 49,568,951 with GCF Formula

Least Common Multiple of 49,568,951 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 49,568,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,568,951) = 1

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

GCF(49,568,951) x common factors =1 x 1 = 1

LCM(49,568,951) = ( 49 × 568 × 951 ) / 1

LCM(49,568,951) = 26468232 / 1

LCM(49,568,951) = 26468232


Lets's calculate GCF of 30,72,338

2 30, 72, 338
15, 36, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26468232/2

Therefore the LCM of Fractions 49/30,568/72,951/338 is 13234116

Greatest Common Factor of 30,72,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,72,338 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 30,72,338 . The biggest common factor number is the GCF number.
So the greatest common factor 30,72,338 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 49/30, 568/72, 951/338

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 49/30, 568/72, 951/338?

Answer: LCM of Numerators as per given numbers 49/30, 568/72, 951/338 is

LCM of Numerators i.e. for 49,568,951 is 26468232

GCF of denominators i.e. for 30,72,338 is 2.

Thus, LCM of Fractions is 13234116.Finally, LCM of Fractions for 49/30, 568/72, 951/338 is 13234116.