Least Common Multiple of 51/10, 49/29, 158/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/10, 49/29, 158/218 quickly i.e. 394842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/10, 49/29, 158/218 is 394842.

LCM(51/10, 49/29, 158/218) = 394842

LCM of 51/10, 49/29, 158/218

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 51/10,49/29,158/218

Given numbers are 51/10,49/29,158/218

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 51,49,158

Least Common Multiple of Numerators i.e. LCM of 51,49,158 is 394842.

GCF of Denominators means GCF of 10,29,218 as per the given fractions.

GCF of 10,29,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,49,158

LCM of Fractions 51/10,49/29,158/218 is 394842

Given numbers has no common factors except 1. So, there LCM is their product i.e 394842

Least Common Multiple of 51,49,158 with GCF Formula

Least Common Multiple of 51,49,158 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 51,49,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,49,158) = 1

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

GCF(51,49,158) x common factors =1 x 1 = 1

LCM(51,49,158) = ( 51 × 49 × 158 ) / 1

LCM(51,49,158) = 394842 / 1

LCM(51,49,158) = 394842


Lets's calculate GCF of 10,29,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 394842/1

Therefore the LCM of Fractions 51/10,49/29,158/218 is 394842

Greatest Common Factor of 10,29,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,29,218 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 10,29,218 . The biggest common factor number is the GCF number.
So the greatest common factor 10,29,218 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 51/10, 49/29, 158/218

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 51/10, 49/29, 158/218?

Answer: LCM of Numerators as per given numbers 51/10, 49/29, 158/218 is

LCM of Numerators i.e. for 51,49,158 is 394842

GCF of denominators i.e. for 10,29,218 is 1.

Thus, LCM of Fractions is 394842.Finally, LCM of Fractions for 51/10, 49/29, 158/218 is 394842.