Least Common Multiple of 224/68, 117/1979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/68, 117/1979 quickly i.e. 26208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/68, 117/1979 is 26208.

LCM(224/68, 117/1979) = 26208

LCM of 224/68, 117/1979

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 224/68,117/1979

Given numbers are 224/68,117/1979

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 224,117

Least Common Multiple of Numerators i.e. LCM of 224,117 is 26208.

GCF of Denominators means GCF of 68,1979 as per the given fractions.

GCF of 68,1979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,117

LCM of Fractions 224/68,117/1979 is 26208

Given numbers has no common factors except 1. So, there LCM is their product i.e 26208

Least Common Multiple of 224,117 with GCF Formula

Least Common Multiple of 224,117 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 224,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,117) = 1

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

GCF(224,117) x common factors =1 x 1 = 1

LCM(224,117) = ( 224 × 117 ) / 1

LCM(224,117) = 26208 / 1

LCM(224,117) = 26208


Lets's calculate GCF of 68,1979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26208/1

Therefore the LCM of Fractions 224/68,117/1979 is 26208

Greatest Common Factor of 68,1979 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,1979 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 1979

List of positive integer factors of 1979 that divides 1979 without a remainder.

1,1979

Greatest Common Factor

We found the factors 68,1979 . The biggest common factor number is the GCF number.
So the greatest common factor 68,1979 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 224/68, 117/1979

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 224/68, 117/1979?

Answer: LCM of Numerators as per given numbers 224/68, 117/1979 is

LCM of Numerators i.e. for 224,117 is 26208

GCF of denominators i.e. for 68,1979 is 1.

Thus, LCM of Fractions is 26208.Finally, LCM of Fractions for 224/68, 117/1979 is 26208.