Least Common Multiple of 500/548, 197/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/548, 197/214 quickly i.e. 49250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/548, 197/214 is 49250.

LCM(500/548, 197/214) = 49250

LCM of 500/548, 197/214

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 500/548,197/214

Given numbers are 500/548,197/214

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 500,197

Least Common Multiple of Numerators i.e. LCM of 500,197 is 98500.

GCF of Denominators means GCF of 548,214 as per the given fractions.

GCF of 548,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,197

LCM of Fractions 500/548,197/214 is 49250

Given numbers has no common factors except 1. So, there LCM is their product i.e 98500

Least Common Multiple of 500,197 with GCF Formula

Least Common Multiple of 500,197 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 500,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,197) = 1

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

GCF(500,197) x common factors =1 x 1 = 1

LCM(500,197) = ( 500 × 197 ) / 1

LCM(500,197) = 98500 / 1

LCM(500,197) = 98500


Lets's calculate GCF of 548,214

2 548, 214
274, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98500/2

Therefore the LCM of Fractions 500/548,197/214 is 49250

Greatest Common Factor of 548,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,214 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 548,214 . The biggest common factor number is the GCF number.
So the greatest common factor 548,214 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 500/548, 197/214

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 500/548, 197/214?

Answer: LCM of Numerators as per given numbers 500/548, 197/214 is

LCM of Numerators i.e. for 500,197 is 98500

GCF of denominators i.e. for 548,214 is 2.

Thus, LCM of Fractions is 49250.Finally, LCM of Fractions for 500/548, 197/214 is 49250.