Least Common Multiple of 852/40, 583/6946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/40, 583/6946 quickly i.e. 248358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/40, 583/6946 is 248358.

LCM(852/40, 583/6946) = 248358

LCM of 852/40, 583/6946

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 852/40,583/6946

Given numbers are 852/40,583/6946

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 852,583

Least Common Multiple of Numerators i.e. LCM of 852,583 is 496716.

GCF of Denominators means GCF of 40,6946 as per the given fractions.

GCF of 40,6946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,583

LCM of Fractions 852/40,583/6946 is 248358

Given numbers has no common factors except 1. So, there LCM is their product i.e 496716

Least Common Multiple of 852,583 with GCF Formula

Least Common Multiple of 852,583 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 852,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,583) = 1

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

GCF(852,583) x common factors =1 x 1 = 1

LCM(852,583) = ( 852 × 583 ) / 1

LCM(852,583) = 496716 / 1

LCM(852,583) = 496716


Lets's calculate GCF of 40,6946

2 40, 6946
20, 3473

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496716/2

Therefore the LCM of Fractions 852/40,583/6946 is 248358

Greatest Common Factor of 40,6946 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,6946 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1,2,23,46,151,302,3473,6946

Greatest Common Factor

We found the factors 40,6946 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6946 is 2.


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 852/40, 583/6946

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 852/40, 583/6946?

Answer: LCM of Numerators as per given numbers 852/40, 583/6946 is

LCM of Numerators i.e. for 852,583 is 496716

GCF of denominators i.e. for 40,6946 is 2.

Thus, LCM of Fractions is 248358.Finally, LCM of Fractions for 852/40, 583/6946 is 248358.