Least Common Multiple of 51/122, 76/830, 241/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/122, 76/830, 241/171 quickly i.e. 934116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/122, 76/830, 241/171 is 934116.

LCM(51/122, 76/830, 241/171) = 934116

LCM of 51/122, 76/830, 241/171

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 51/122,76/830,241/171

Given numbers are 51/122,76/830,241/171

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 51,76,241

Least Common Multiple of Numerators i.e. LCM of 51,76,241 is 934116.

GCF of Denominators means GCF of 122,830,171 as per the given fractions.

GCF of 122,830,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,76,241

LCM of Fractions 51/122,76/830,241/171 is 934116

Given numbers has no common factors except 1. So, there LCM is their product i.e 934116

Least Common Multiple of 51,76,241 with GCF Formula

Least Common Multiple of 51,76,241 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 51,76,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,76,241) = 1

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

GCF(51,76,241) x common factors =1 x 1 = 1

LCM(51,76,241) = ( 51 × 76 × 241 ) / 1

LCM(51,76,241) = 934116 / 1

LCM(51,76,241) = 934116


Lets's calculate GCF of 122,830,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 934116/1

Therefore the LCM of Fractions 51/122,76/830,241/171 is 934116

Greatest Common Factor of 122,830,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,830,171 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 122,830,171 . The biggest common factor number is the GCF number.
So the greatest common factor 122,830,171 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 51/122, 76/830, 241/171

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 51/122, 76/830, 241/171?

Answer: LCM of Numerators as per given numbers 51/122, 76/830, 241/171 is

LCM of Numerators i.e. for 51,76,241 is 934116

GCF of denominators i.e. for 122,830,171 is 1.

Thus, LCM of Fractions is 934116.Finally, LCM of Fractions for 51/122, 76/830, 241/171 is 934116.