Least Common Multiple of 855/28, 414/6941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 855/28, 414/6941 quickly i.e. 39330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/28, 414/6941 is 39330.

LCM(855/28, 414/6941) = 39330

LCM of 855/28, 414/6941

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 855/28,414/6941

Given numbers are 855/28,414/6941

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 855,414

Least Common Multiple of Numerators i.e. LCM of 855,414 is 39330.

GCF of Denominators means GCF of 28,6941 as per the given fractions.

GCF of 28,6941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,414

LCM of Fractions 855/28,414/6941 is 39330

3 855, 414
3 285, 138
95, 46

∴ So the LCM of the given numbers is 3 x 3 x 95 x 46 = 39330

Least Common Multiple of 855,414 with GCF Formula

Least Common Multiple of 855,414 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 855,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,414) = 9

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

GCF(855,414) x common factors =9 x 1 = 9

LCM(855,414) = ( 855 × 414 ) / 9

LCM(855,414) = 353970 / 9

LCM(855,414) = 39330


Lets's calculate GCF of 28,6941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39330/1

Therefore the LCM of Fractions 855/28,414/6941 is 39330

Greatest Common Factor of 28,6941 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,6941 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1,11,631,6941

Greatest Common Factor

We found the factors 28,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6941 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 855/28, 414/6941

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 855/28, 414/6941?

Answer: LCM of Numerators as per given numbers 855/28, 414/6941 is

LCM of Numerators i.e. for 855,414 is 39330

GCF of denominators i.e. for 28,6941 is 1.

Thus, LCM of Fractions is 39330.Finally, LCM of Fractions for 855/28, 414/6941 is 39330.