Least Common Multiple of 477/438, 1784/8126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 477/438, 1784/8126 quickly i.e. 425484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/438, 1784/8126 is 425484.

LCM(477/438, 1784/8126) = 425484

LCM of 477/438, 1784/8126

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 477/438,1784/8126

Given numbers are 477/438,1784/8126

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 477,1784

Least Common Multiple of Numerators i.e. LCM of 477,1784 is 850968.

GCF of Denominators means GCF of 438,8126 as per the given fractions.

GCF of 438,8126 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,1784

LCM of Fractions 477/438,1784/8126 is 425484

Given numbers has no common factors except 1. So, there LCM is their product i.e 850968

Least Common Multiple of 477,1784 with GCF Formula

Least Common Multiple of 477,1784 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 477,1784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,1784) = 1

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

GCF(477,1784) x common factors =1 x 1 = 1

LCM(477,1784) = ( 477 × 1784 ) / 1

LCM(477,1784) = 850968 / 1

LCM(477,1784) = 850968


Lets's calculate GCF of 438,8126

2 438, 8126
219, 4063

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 850968/2

Therefore the LCM of Fractions 477/438,1784/8126 is 425484

Greatest Common Factor of 438,8126 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,8126 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1,2,17,34,239,478,4063,8126

Greatest Common Factor

We found the factors 438,8126 . The biggest common factor number is the GCF number.
So the greatest common factor 438,8126 is 2.


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Frequently Asked Questions on Fractional LCM of 477/438, 1784/8126

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 477/438, 1784/8126?

Answer: LCM of Numerators as per given numbers 477/438, 1784/8126 is

LCM of Numerators i.e. for 477,1784 is 850968

GCF of denominators i.e. for 438,8126 is 2.

Thus, LCM of Fractions is 425484.Finally, LCM of Fractions for 477/438, 1784/8126 is 425484.