Least Common Multiple of 54/425, 61/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/425, 61/245 quickly i.e. 3294/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/425, 61/245 is 3294/5.

LCM(54/425, 61/245) = 3294/5

LCM of 54/425, 61/245

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 54/425,61/245

Given numbers are 54/425,61/245

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 54,61

Least Common Multiple of Numerators i.e. LCM of 54,61 is 3294.

GCF of Denominators means GCF of 425,245 as per the given fractions.

GCF of 425,245 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,61

LCM of Fractions 54/425,61/245 is 3294/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 3294

Least Common Multiple of 54,61 with GCF Formula

Least Common Multiple of 54,61 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 54,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,61) = 1

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

GCF(54,61) x common factors =1 x 1 = 1

LCM(54,61) = ( 54 × 61 ) / 1

LCM(54,61) = 3294 / 1

LCM(54,61) = 3294


Lets's calculate GCF of 425,245

5 425, 245
85, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3294/5

Therefore the LCM of Fractions 54/425,61/245 is 3294/5

Greatest Common Factor of 425,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,245 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 425,245 . The biggest common factor number is the GCF number.
So the greatest common factor 425,245 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 54/425, 61/245

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 54/425, 61/245?

Answer: LCM of Numerators as per given numbers 54/425, 61/245 is

LCM of Numerators i.e. for 54,61 is 3294

GCF of denominators i.e. for 425,245 is 5.

Thus, LCM of Fractions is 3294/5.Finally, LCM of Fractions for 54/425, 61/245 is 3294/5.