Least Common Multiple of 831/397, 427/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/397, 427/490 quickly i.e. 354837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/397, 427/490 is 354837.

LCM(831/397, 427/490) = 354837

LCM of 831/397, 427/490

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 831/397,427/490

Given numbers are 831/397,427/490

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 831,427

Least Common Multiple of Numerators i.e. LCM of 831,427 is 354837.

GCF of Denominators means GCF of 397,490 as per the given fractions.

GCF of 397,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,427

LCM of Fractions 831/397,427/490 is 354837

Given numbers has no common factors except 1. So, there LCM is their product i.e 354837

Least Common Multiple of 831,427 with GCF Formula

Least Common Multiple of 831,427 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 831,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,427) = 1

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

GCF(831,427) x common factors =1 x 1 = 1

LCM(831,427) = ( 831 × 427 ) / 1

LCM(831,427) = 354837 / 1

LCM(831,427) = 354837


Lets's calculate GCF of 397,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354837/1

Therefore the LCM of Fractions 831/397,427/490 is 354837

Greatest Common Factor of 397,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,490 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 397,490 . The biggest common factor number is the GCF number.
So the greatest common factor 397,490 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 831/397, 427/490

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 831/397, 427/490?

Answer: LCM of Numerators as per given numbers 831/397, 427/490 is

LCM of Numerators i.e. for 831,427 is 354837

GCF of denominators i.e. for 397,490 is 1.

Thus, LCM of Fractions is 354837.Finally, LCM of Fractions for 831/397, 427/490 is 354837.