Least Common Multiple of 5873/731, 6700/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5873/731, 6700/430 quickly i.e. 39349100/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5873/731, 6700/430 is 39349100/43.

LCM(5873/731, 6700/430) = 39349100/43

LCM of 5873/731, 6700/430

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 5873/731,6700/430

Given numbers are 5873/731,6700/430

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 5873,6700

Least Common Multiple of Numerators i.e. LCM of 5873,6700 is 39349100.

GCF of Denominators means GCF of 731,430 as per the given fractions.

GCF of 731,430 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5873,6700

LCM of Fractions 5873/731,6700/430 is 39349100/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 39349100

Least Common Multiple of 5873,6700 with GCF Formula

Least Common Multiple of 5873,6700 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 5873,6700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5873,6700) = 1

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

GCF(5873,6700) x common factors =1 x 1 = 1

LCM(5873,6700) = ( 5873 × 6700 ) / 1

LCM(5873,6700) = 39349100 / 1

LCM(5873,6700) = 39349100


Lets's calculate GCF of 731,430

43 731, 430
17, 10

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39349100/43

Therefore the LCM of Fractions 5873/731,6700/430 is 39349100/43

Greatest Common Factor of 731,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,430 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

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 731,430 . The biggest common factor number is the GCF number.
So the greatest common factor 731,430 is 43.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5873/731, 6700/430

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 5873/731, 6700/430?

Answer: LCM of Numerators as per given numbers 5873/731, 6700/430 is

LCM of Numerators i.e. for 5873,6700 is 39349100

GCF of denominators i.e. for 731,430 is 43.

Thus, LCM of Fractions is 39349100/43.Finally, LCM of Fractions for 5873/731, 6700/430 is 39349100/43.