Least Common Multiple of 101/17, 5038/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 101/17, 5038/772 quickly i.e. 508838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 101/17, 5038/772 is 508838.

LCM(101/17, 5038/772) = 508838

LCM of 101/17, 5038/772

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 101/17,5038/772

Given numbers are 101/17,5038/772

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 101,5038

Least Common Multiple of Numerators i.e. LCM of 101,5038 is 508838.

GCF of Denominators means GCF of 17,772 as per the given fractions.

GCF of 17,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 101,5038

LCM of Fractions 101/17,5038/772 is 508838

Given numbers has no common factors except 1. So, there LCM is their product i.e 508838

Least Common Multiple of 101,5038 with GCF Formula

Least Common Multiple of 101,5038 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 101,5038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,5038) = 1

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

GCF(101,5038) x common factors =1 x 1 = 1

LCM(101,5038) = ( 101 × 5038 ) / 1

LCM(101,5038) = 508838 / 1

LCM(101,5038) = 508838


Lets's calculate GCF of 17,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508838/1

Therefore the LCM of Fractions 101/17,5038/772 is 508838

Greatest Common Factor of 17,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,772 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 17,772 . The biggest common factor number is the GCF number.
So the greatest common factor 17,772 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 101/17, 5038/772

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 101/17, 5038/772?

Answer: LCM of Numerators as per given numbers 101/17, 5038/772 is

LCM of Numerators i.e. for 101,5038 is 508838

GCF of denominators i.e. for 17,772 is 1.

Thus, LCM of Fractions is 508838.Finally, LCM of Fractions for 101/17, 5038/772 is 508838.