Least Common Multiple of 340/869, 795/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/869, 795/561 quickly i.e. 54060/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/869, 795/561 is 54060/11.

LCM(340/869, 795/561) = 54060/11

LCM of 340/869, 795/561

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 340/869,795/561

Given numbers are 340/869,795/561

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 340,795

Least Common Multiple of Numerators i.e. LCM of 340,795 is 54060.

GCF of Denominators means GCF of 869,561 as per the given fractions.

GCF of 869,561 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,795

LCM of Fractions 340/869,795/561 is 54060/11

5 340, 795
68, 159

∴ So the LCM of the given numbers is 5 x 68 x 159 = 54060

Least Common Multiple of 340,795 with GCF Formula

Least Common Multiple of 340,795 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 340,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,795) = 5

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

GCF(340,795) x common factors =5 x 1 = 5

LCM(340,795) = ( 340 × 795 ) / 5

LCM(340,795) = 270300 / 5

LCM(340,795) = 54060


Lets's calculate GCF of 869,561

11 869, 561
79, 51

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54060/11

Therefore the LCM of Fractions 340/869,795/561 is 54060/11

Greatest Common Factor of 869,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,561 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 869,561 . The biggest common factor number is the GCF number.
So the greatest common factor 869,561 is 11.


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 340/869, 795/561

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 340/869, 795/561?

Answer: LCM of Numerators as per given numbers 340/869, 795/561 is

LCM of Numerators i.e. for 340,795 is 54060

GCF of denominators i.e. for 869,561 is 11.

Thus, LCM of Fractions is 54060/11.Finally, LCM of Fractions for 340/869, 795/561 is 54060/11.