Least Common Multiple of 7055/223, 8725/2176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7055/223, 8725/2176 quickly i.e. 12310975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7055/223, 8725/2176 is 12310975.

LCM(7055/223, 8725/2176) = 12310975

LCM of 7055/223, 8725/2176

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 7055/223,8725/2176

Given numbers are 7055/223,8725/2176

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 7055,8725

Least Common Multiple of Numerators i.e. LCM of 7055,8725 is 12310975.

GCF of Denominators means GCF of 223,2176 as per the given fractions.

GCF of 223,2176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7055,8725

LCM of Fractions 7055/223,8725/2176 is 12310975

5 7055, 8725
1411, 1745

∴ So the LCM of the given numbers is 5 x 1411 x 1745 = 12310975

Least Common Multiple of 7055,8725 with GCF Formula

Least Common Multiple of 7055,8725 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 7055,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7055,8725) = 5

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

GCF(7055,8725) x common factors =5 x 1 = 5

LCM(7055,8725) = ( 7055 × 8725 ) / 5

LCM(7055,8725) = 61554875 / 5

LCM(7055,8725) = 12310975


Lets's calculate GCF of 223,2176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12310975/1

Therefore the LCM of Fractions 7055/223,8725/2176 is 12310975

Greatest Common Factor of 223,2176 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,2176 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Greatest Common Factor

We found the factors 223,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 223,2176 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 7055/223, 8725/2176

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 7055/223, 8725/2176?

Answer: LCM of Numerators as per given numbers 7055/223, 8725/2176 is

LCM of Numerators i.e. for 7055,8725 is 12310975

GCF of denominators i.e. for 223,2176 is 1.

Thus, LCM of Fractions is 12310975.Finally, LCM of Fractions for 7055/223, 8725/2176 is 12310975.