Least Common Multiple of 5755/438, 4862/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5755/438, 4862/430 quickly i.e. 13990405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5755/438, 4862/430 is 13990405.

LCM(5755/438, 4862/430) = 13990405

LCM of 5755/438, 4862/430

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 5755/438,4862/430

Given numbers are 5755/438,4862/430

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 5755,4862

Least Common Multiple of Numerators i.e. LCM of 5755,4862 is 27980810.

GCF of Denominators means GCF of 438,430 as per the given fractions.

GCF of 438,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5755,4862

LCM of Fractions 5755/438,4862/430 is 13990405

Given numbers has no common factors except 1. So, there LCM is their product i.e 27980810

Least Common Multiple of 5755,4862 with GCF Formula

Least Common Multiple of 5755,4862 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 5755,4862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5755,4862) = 1

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

GCF(5755,4862) x common factors =1 x 1 = 1

LCM(5755,4862) = ( 5755 × 4862 ) / 1

LCM(5755,4862) = 27980810 / 1

LCM(5755,4862) = 27980810


Lets's calculate GCF of 438,430

2 438, 430
219, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27980810/2

Therefore the LCM of Fractions 5755/438,4862/430 is 13990405

Greatest Common Factor of 438,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,430 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 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 438,430 . The biggest common factor number is the GCF number.
So the greatest common factor 438,430 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5755/438, 4862/430

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 5755/438, 4862/430?

Answer: LCM of Numerators as per given numbers 5755/438, 4862/430 is

LCM of Numerators i.e. for 5755,4862 is 27980810

GCF of denominators i.e. for 438,430 is 2.

Thus, LCM of Fractions is 13990405.Finally, LCM of Fractions for 5755/438, 4862/430 is 13990405.