Least Common Multiple of 7469/513, 5957/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7469/513, 5957/340 quickly i.e. 6356119 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7469/513, 5957/340 is 6356119.

LCM(7469/513, 5957/340) = 6356119

LCM of 7469/513, 5957/340

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 7469/513,5957/340

Given numbers are 7469/513,5957/340

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 7469,5957

Least Common Multiple of Numerators i.e. LCM of 7469,5957 is 6356119.

GCF of Denominators means GCF of 513,340 as per the given fractions.

GCF of 513,340 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7469,5957

LCM of Fractions 7469/513,5957/340 is 6356119

7 7469, 5957
1067, 851

∴ So the LCM of the given numbers is 7 x 1067 x 851 = 6356119

Least Common Multiple of 7469,5957 with GCF Formula

Least Common Multiple of 7469,5957 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 7469,5957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7469,5957) = 7

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

GCF(7469,5957) x common factors =7 x 1 = 7

LCM(7469,5957) = ( 7469 × 5957 ) / 7

LCM(7469,5957) = 44492833 / 7

LCM(7469,5957) = 6356119


Lets's calculate GCF of 513,340

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6356119/1

Therefore the LCM of Fractions 7469/513,5957/340 is 6356119

Greatest Common Factor of 513,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,340 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 513,340 . The biggest common factor number is the GCF number.
So the greatest common factor 513,340 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7469/513, 5957/340

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 7469/513, 5957/340?

Answer: LCM of Numerators as per given numbers 7469/513, 5957/340 is

LCM of Numerators i.e. for 7469,5957 is 6356119

GCF of denominators i.e. for 513,340 is 1.

Thus, LCM of Fractions is 6356119.Finally, LCM of Fractions for 7469/513, 5957/340 is 6356119.