Least Common Multiple of 23/478, 4277/1554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/478, 4277/1554 quickly i.e. 98371/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/478, 4277/1554 is 98371/2.

LCM(23/478, 4277/1554) = 98371/2

LCM of 23/478, 4277/1554

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 23/478,4277/1554

Given numbers are 23/478,4277/1554

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 23,4277

Least Common Multiple of Numerators i.e. LCM of 23,4277 is 98371.

GCF of Denominators means GCF of 478,1554 as per the given fractions.

GCF of 478,1554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,4277

LCM of Fractions 23/478,4277/1554 is 98371/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 98371

Least Common Multiple of 23,4277 with GCF Formula

Least Common Multiple of 23,4277 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 23,4277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,4277) = 1

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

GCF(23,4277) x common factors =1 x 1 = 1

LCM(23,4277) = ( 23 × 4277 ) / 1

LCM(23,4277) = 98371 / 1

LCM(23,4277) = 98371


Lets's calculate GCF of 478,1554

2 478, 1554
239, 777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98371/2

Therefore the LCM of Fractions 23/478,4277/1554 is 98371/2

Greatest Common Factor of 478,1554 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,1554 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 1554

List of positive integer factors of 1554 that divides 1554 without a remainder.

1,2,3,6,7,14,21,37,42,74,111,222,259,518,777,1554

Greatest Common Factor

We found the factors 478,1554 . The biggest common factor number is the GCF number.
So the greatest common factor 478,1554 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/478, 4277/1554

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 23/478, 4277/1554?

Answer: LCM of Numerators as per given numbers 23/478, 4277/1554 is

LCM of Numerators i.e. for 23,4277 is 98371

GCF of denominators i.e. for 478,1554 is 2.

Thus, LCM of Fractions is 98371/2.Finally, LCM of Fractions for 23/478, 4277/1554 is 98371/2.