Least Common Multiple of 667/70, 362/5838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/70, 362/5838 quickly i.e. 241454/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/70, 362/5838 is 241454/14.

LCM(667/70, 362/5838) = 241454/14

LCM of 667/70, 362/5838

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 667/70,362/5838

Given numbers are 667/70,362/5838

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 667,362

Least Common Multiple of Numerators i.e. LCM of 667,362 is 241454.

GCF of Denominators means GCF of 70,5838 as per the given fractions.

GCF of 70,5838 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,362

LCM of Fractions 667/70,362/5838 is 241454/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 241454

Least Common Multiple of 667,362 with GCF Formula

Least Common Multiple of 667,362 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 667,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,362) = 1

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

GCF(667,362) x common factors =1 x 1 = 1

LCM(667,362) = ( 667 × 362 ) / 1

LCM(667,362) = 241454 / 1

LCM(667,362) = 241454


Lets's calculate GCF of 70,5838

2 70, 5838
7 35, 2919
5, 417

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241454/14

Therefore the LCM of Fractions 667/70,362/5838 is 241454/14

Greatest Common Factor of 70,5838 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5838 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838

Greatest Common Factor

We found the factors 70,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5838 is 14.


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 667/70, 362/5838

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 667/70, 362/5838?

Answer: LCM of Numerators as per given numbers 667/70, 362/5838 is

LCM of Numerators i.e. for 667,362 is 241454

GCF of denominators i.e. for 70,5838 is 14.

Thus, LCM of Fractions is 241454/14.Finally, LCM of Fractions for 667/70, 362/5838 is 241454/14.