Least Common Multiple of 5513/70, 6068/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5513/70, 6068/542 quickly i.e. 452066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5513/70, 6068/542 is 452066.

LCM(5513/70, 6068/542) = 452066

LCM of 5513/70, 6068/542

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 5513/70,6068/542

Given numbers are 5513/70,6068/542

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 5513,6068

Least Common Multiple of Numerators i.e. LCM of 5513,6068 is 904132.

GCF of Denominators means GCF of 70,542 as per the given fractions.

GCF of 70,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5513,6068

LCM of Fractions 5513/70,6068/542 is 452066

37 5513, 6068
149, 164

∴ So the LCM of the given numbers is 37 x 149 x 164 = 904132

Least Common Multiple of 5513,6068 with GCF Formula

Least Common Multiple of 5513,6068 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 5513,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5513,6068) = 37

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

GCF(5513,6068) x common factors =37 x 1 = 37

LCM(5513,6068) = ( 5513 × 6068 ) / 37

LCM(5513,6068) = 33452884 / 37

LCM(5513,6068) = 904132


Lets's calculate GCF of 70,542

2 70, 542
35, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 904132/2

Therefore the LCM of Fractions 5513/70,6068/542 is 452066

Greatest Common Factor of 70,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,542 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 70,542 . The biggest common factor number is the GCF number.
So the greatest common factor 70,542 is 2.


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 5513/70, 6068/542

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 5513/70, 6068/542?

Answer: LCM of Numerators as per given numbers 5513/70, 6068/542 is

LCM of Numerators i.e. for 5513,6068 is 904132

GCF of denominators i.e. for 70,542 is 2.

Thus, LCM of Fractions is 452066.Finally, LCM of Fractions for 5513/70, 6068/542 is 452066.