Least Common Multiple of 242/56, 545/9150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/56, 545/9150 quickly i.e. 65945 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/56, 545/9150 is 65945.

LCM(242/56, 545/9150) = 65945

LCM of 242/56, 545/9150

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 242/56,545/9150

Given numbers are 242/56,545/9150

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 242,545

Least Common Multiple of Numerators i.e. LCM of 242,545 is 131890.

GCF of Denominators means GCF of 56,9150 as per the given fractions.

GCF of 56,9150 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,545

LCM of Fractions 242/56,545/9150 is 65945

Given numbers has no common factors except 1. So, there LCM is their product i.e 131890

Least Common Multiple of 242,545 with GCF Formula

Least Common Multiple of 242,545 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 242,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,545) = 1

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

GCF(242,545) x common factors =1 x 1 = 1

LCM(242,545) = ( 242 × 545 ) / 1

LCM(242,545) = 131890 / 1

LCM(242,545) = 131890


Lets's calculate GCF of 56,9150

2 56, 9150
28, 4575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131890/2

Therefore the LCM of Fractions 242/56,545/9150 is 65945

Greatest Common Factor of 56,9150 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,9150 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Greatest Common Factor

We found the factors 56,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 56,9150 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 242/56, 545/9150

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 242/56, 545/9150?

Answer: LCM of Numerators as per given numbers 242/56, 545/9150 is

LCM of Numerators i.e. for 242,545 is 131890

GCF of denominators i.e. for 56,9150 is 2.

Thus, LCM of Fractions is 65945.Finally, LCM of Fractions for 242/56, 545/9150 is 65945.