Least Common Multiple of 224/80, 617/6375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 224/80, 617/6375 quickly i.e. 138208/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 224/80, 617/6375 is 138208/5.

LCM(224/80, 617/6375) = 138208/5

LCM of 224/80, 617/6375

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 224/80,617/6375

Given numbers are 224/80,617/6375

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 224,617

Least Common Multiple of Numerators i.e. LCM of 224,617 is 138208.

GCF of Denominators means GCF of 80,6375 as per the given fractions.

GCF of 80,6375 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 224,617

LCM of Fractions 224/80,617/6375 is 138208/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 138208

Least Common Multiple of 224,617 with GCF Formula

Least Common Multiple of 224,617 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 224,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,617) = 1

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

GCF(224,617) x common factors =1 x 1 = 1

LCM(224,617) = ( 224 × 617 ) / 1

LCM(224,617) = 138208 / 1

LCM(224,617) = 138208


Lets's calculate GCF of 80,6375

5 80, 6375
16, 1275

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138208/5

Therefore the LCM of Fractions 224/80,617/6375 is 138208/5

Greatest Common Factor of 80,6375 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,6375 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 6375

List of positive integer factors of 6375 that divides 6375 without a remainder.

1,3,5,15,17,25,51,75,85,125,255,375,425,1275,2125,6375

Greatest Common Factor

We found the factors 80,6375 . The biggest common factor number is the GCF number.
So the greatest common factor 80,6375 is 5.


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 224/80, 617/6375

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 224/80, 617/6375?

Answer: LCM of Numerators as per given numbers 224/80, 617/6375 is

LCM of Numerators i.e. for 224,617 is 138208

GCF of denominators i.e. for 80,6375 is 5.

Thus, LCM of Fractions is 138208/5.Finally, LCM of Fractions for 224/80, 617/6375 is 138208/5.