Least Common Multiple of 4902/500, 2508/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4902/500, 2508/169 quickly i.e. 107844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4902/500, 2508/169 is 107844.

LCM(4902/500, 2508/169) = 107844

LCM of 4902/500, 2508/169

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 4902/500,2508/169

Given numbers are 4902/500,2508/169

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 4902,2508

Least Common Multiple of Numerators i.e. LCM of 4902,2508 is 107844.

GCF of Denominators means GCF of 500,169 as per the given fractions.

GCF of 500,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4902,2508

LCM of Fractions 4902/500,2508/169 is 107844

2 4902, 2508
3 2451, 1254
19 817, 418
43, 22

∴ So the LCM of the given numbers is 2 x 3 x 19 x 43 x 22 = 107844

Least Common Multiple of 4902,2508 with GCF Formula

Least Common Multiple of 4902,2508 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 4902,2508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4902,2508) = 114

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

GCF(4902,2508) x common factors =114 x 1 = 114

LCM(4902,2508) = ( 4902 × 2508 ) / 114

LCM(4902,2508) = 12294216 / 114

LCM(4902,2508) = 107844


Lets's calculate GCF of 500,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107844/1

Therefore the LCM of Fractions 4902/500,2508/169 is 107844

Greatest Common Factor of 500,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,169 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 500,169 . The biggest common factor number is the GCF number.
So the greatest common factor 500,169 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 4902/500, 2508/169

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 4902/500, 2508/169?

Answer: LCM of Numerators as per given numbers 4902/500, 2508/169 is

LCM of Numerators i.e. for 4902,2508 is 107844

GCF of denominators i.e. for 500,169 is 1.

Thus, LCM of Fractions is 107844.Finally, LCM of Fractions for 4902/500, 2508/169 is 107844.