Least Common Multiple of 294/425, 8760/4518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 294/425, 8760/4518 quickly i.e. 429240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 294/425, 8760/4518 is 429240.

LCM(294/425, 8760/4518) = 429240

LCM of 294/425, 8760/4518

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 294/425,8760/4518

Given numbers are 294/425,8760/4518

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 294,8760

Least Common Multiple of Numerators i.e. LCM of 294,8760 is 429240.

GCF of Denominators means GCF of 425,4518 as per the given fractions.

GCF of 425,4518 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 294,8760

LCM of Fractions 294/425,8760/4518 is 429240

2 294, 8760
3 147, 4380
49, 1460

∴ So the LCM of the given numbers is 2 x 3 x 49 x 1460 = 429240

Least Common Multiple of 294,8760 with GCF Formula

Least Common Multiple of 294,8760 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 294,8760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,8760) = 6

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

GCF(294,8760) x common factors =6 x 1 = 6

LCM(294,8760) = ( 294 × 8760 ) / 6

LCM(294,8760) = 2575440 / 6

LCM(294,8760) = 429240


Lets's calculate GCF of 425,4518

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429240/1

Therefore the LCM of Fractions 294/425,8760/4518 is 429240

Greatest Common Factor of 425,4518 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,4518 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 4518

List of positive integer factors of 4518 that divides 4518 without a remainder.

1,2,3,6,9,18,251,502,753,1506,2259,4518

Greatest Common Factor

We found the factors 425,4518 . The biggest common factor number is the GCF number.
So the greatest common factor 425,4518 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 294/425, 8760/4518

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 294/425, 8760/4518?

Answer: LCM of Numerators as per given numbers 294/425, 8760/4518 is

LCM of Numerators i.e. for 294,8760 is 429240

GCF of denominators i.e. for 425,4518 is 1.

Thus, LCM of Fractions is 429240.Finally, LCM of Fractions for 294/425, 8760/4518 is 429240.