Least Common Multiple of 5309/595, 6952/7040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5309/595, 6952/7040 quickly i.e. 36908168/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5309/595, 6952/7040 is 36908168/5.

LCM(5309/595, 6952/7040) = 36908168/5

LCM of 5309/595, 6952/7040

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 5309/595,6952/7040

Given numbers are 5309/595,6952/7040

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 5309,6952

Least Common Multiple of Numerators i.e. LCM of 5309,6952 is 36908168.

GCF of Denominators means GCF of 595,7040 as per the given fractions.

GCF of 595,7040 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5309,6952

LCM of Fractions 5309/595,6952/7040 is 36908168/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 36908168

Least Common Multiple of 5309,6952 with GCF Formula

Least Common Multiple of 5309,6952 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 5309,6952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5309,6952) = 1

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

GCF(5309,6952) x common factors =1 x 1 = 1

LCM(5309,6952) = ( 5309 × 6952 ) / 1

LCM(5309,6952) = 36908168 / 1

LCM(5309,6952) = 36908168


Lets's calculate GCF of 595,7040

5 595, 7040
119, 1408

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36908168/5

Therefore the LCM of Fractions 5309/595,6952/7040 is 36908168/5

Greatest Common Factor of 595,7040 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,7040 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 7040

List of positive integer factors of 7040 that divides 7040 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,128,160,176,220,320,352,440,640,704,880,1408,1760,3520,7040

Greatest Common Factor

We found the factors 595,7040 . The biggest common factor number is the GCF number.
So the greatest common factor 595,7040 is 5.


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 5309/595, 6952/7040

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 5309/595, 6952/7040?

Answer: LCM of Numerators as per given numbers 5309/595, 6952/7040 is

LCM of Numerators i.e. for 5309,6952 is 36908168

GCF of denominators i.e. for 595,7040 is 5.

Thus, LCM of Fractions is 36908168/5.Finally, LCM of Fractions for 5309/595, 6952/7040 is 36908168/5.