Least Common Multiple of 385/86, 381/30, 961/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/86, 381/30, 961/891 quickly i.e. 140964285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/86, 381/30, 961/891 is 140964285.

LCM(385/86, 381/30, 961/891) = 140964285

LCM of 385/86, 381/30, 961/891

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 385/86,381/30,961/891

Given numbers are 385/86,381/30,961/891

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 385,381,961

Least Common Multiple of Numerators i.e. LCM of 385,381,961 is 140964285.

GCF of Denominators means GCF of 86,30,891 as per the given fractions.

GCF of 86,30,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,381,961

LCM of Fractions 385/86,381/30,961/891 is 140964285

Given numbers has no common factors except 1. So, there LCM is their product i.e 140964285

Least Common Multiple of 385,381,961 with GCF Formula

Least Common Multiple of 385,381,961 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 385,381,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,381,961) = 1

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

GCF(385,381,961) x common factors =1 x 1 = 1

LCM(385,381,961) = ( 385 × 381 × 961 ) / 1

LCM(385,381,961) = 140964285 / 1

LCM(385,381,961) = 140964285


Lets's calculate GCF of 86,30,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140964285/1

Therefore the LCM of Fractions 385/86,381/30,961/891 is 140964285

Greatest Common Factor of 86,30,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,30,891 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 86,30,891 . The biggest common factor number is the GCF number.
So the greatest common factor 86,30,891 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 385/86, 381/30, 961/891

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 385/86, 381/30, 961/891?

Answer: LCM of Numerators as per given numbers 385/86, 381/30, 961/891 is

LCM of Numerators i.e. for 385,381,961 is 140964285

GCF of denominators i.e. for 86,30,891 is 1.

Thus, LCM of Fractions is 140964285.Finally, LCM of Fractions for 385/86, 381/30, 961/891 is 140964285.