Least Common Multiple of 855/150, 7755/9298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 855/150, 7755/9298 quickly i.e. 442035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/150, 7755/9298 is 442035/2.

LCM(855/150, 7755/9298) = 442035/2

LCM of 855/150, 7755/9298

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 855/150,7755/9298

Given numbers are 855/150,7755/9298

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 855,7755

Least Common Multiple of Numerators i.e. LCM of 855,7755 is 442035.

GCF of Denominators means GCF of 150,9298 as per the given fractions.

GCF of 150,9298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,7755

LCM of Fractions 855/150,7755/9298 is 442035/2

3 855, 7755
5 285, 2585
57, 517

∴ So the LCM of the given numbers is 3 x 5 x 57 x 517 = 442035

Least Common Multiple of 855,7755 with GCF Formula

Least Common Multiple of 855,7755 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 855,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,7755) = 15

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

GCF(855,7755) x common factors =15 x 1 = 15

LCM(855,7755) = ( 855 × 7755 ) / 15

LCM(855,7755) = 6630525 / 15

LCM(855,7755) = 442035


Lets's calculate GCF of 150,9298

2 150, 9298
75, 4649

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442035/2

Therefore the LCM of Fractions 855/150,7755/9298 is 442035/2

Greatest Common Factor of 150,9298 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,9298 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1,2,4649,9298

Greatest Common Factor

We found the factors 150,9298 . The biggest common factor number is the GCF number.
So the greatest common factor 150,9298 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 855/150, 7755/9298

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 855/150, 7755/9298?

Answer: LCM of Numerators as per given numbers 855/150, 7755/9298 is

LCM of Numerators i.e. for 855,7755 is 442035

GCF of denominators i.e. for 150,9298 is 2.

Thus, LCM of Fractions is 442035/2.Finally, LCM of Fractions for 855/150, 7755/9298 is 442035/2.