Least Common Multiple of 9060/278, 9251/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9060/278, 9251/224 quickly i.e. 41907030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9060/278, 9251/224 is 41907030.

LCM(9060/278, 9251/224) = 41907030

LCM of 9060/278, 9251/224

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 9060/278,9251/224

Given numbers are 9060/278,9251/224

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 9060,9251

Least Common Multiple of Numerators i.e. LCM of 9060,9251 is 83814060.

GCF of Denominators means GCF of 278,224 as per the given fractions.

GCF of 278,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9060,9251

LCM of Fractions 9060/278,9251/224 is 41907030

Given numbers has no common factors except 1. So, there LCM is their product i.e 83814060

Least Common Multiple of 9060,9251 with GCF Formula

Least Common Multiple of 9060,9251 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 9060,9251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9060,9251) = 1

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

GCF(9060,9251) x common factors =1 x 1 = 1

LCM(9060,9251) = ( 9060 × 9251 ) / 1

LCM(9060,9251) = 83814060 / 1

LCM(9060,9251) = 83814060


Lets's calculate GCF of 278,224

2 278, 224
139, 112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83814060/2

Therefore the LCM of Fractions 9060/278,9251/224 is 41907030

Greatest Common Factor of 278,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,224 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 278,224 . The biggest common factor number is the GCF number.
So the greatest common factor 278,224 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 9060/278, 9251/224

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 9060/278, 9251/224?

Answer: LCM of Numerators as per given numbers 9060/278, 9251/224 is

LCM of Numerators i.e. for 9060,9251 is 83814060

GCF of denominators i.e. for 278,224 is 2.

Thus, LCM of Fractions is 41907030.Finally, LCM of Fractions for 9060/278, 9251/224 is 41907030.