Least Common Multiple of 6713/35, 6894/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6713/35, 6894/155 quickly i.e. 46279422/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6713/35, 6894/155 is 46279422/5.

LCM(6713/35, 6894/155) = 46279422/5

LCM of 6713/35, 6894/155

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 6713/35,6894/155

Given numbers are 6713/35,6894/155

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 6713,6894

Least Common Multiple of Numerators i.e. LCM of 6713,6894 is 46279422.

GCF of Denominators means GCF of 35,155 as per the given fractions.

GCF of 35,155 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6713,6894

LCM of Fractions 6713/35,6894/155 is 46279422/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 46279422

Least Common Multiple of 6713,6894 with GCF Formula

Least Common Multiple of 6713,6894 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 6713,6894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6713,6894) = 1

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

GCF(6713,6894) x common factors =1 x 1 = 1

LCM(6713,6894) = ( 6713 × 6894 ) / 1

LCM(6713,6894) = 46279422 / 1

LCM(6713,6894) = 46279422


Lets's calculate GCF of 35,155

5 35, 155
7, 31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46279422/5

Therefore the LCM of Fractions 6713/35,6894/155 is 46279422/5

Greatest Common Factor of 35,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,155 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 35,155 . The biggest common factor number is the GCF number.
So the greatest common factor 35,155 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 6713/35, 6894/155

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 6713/35, 6894/155?

Answer: LCM of Numerators as per given numbers 6713/35, 6894/155 is

LCM of Numerators i.e. for 6713,6894 is 46279422

GCF of denominators i.e. for 35,155 is 5.

Thus, LCM of Fractions is 46279422/5.Finally, LCM of Fractions for 6713/35, 6894/155 is 46279422/5.