Least Common Multiple of 667/546, 1375/5406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/546, 1375/5406 quickly i.e. 917125/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/546, 1375/5406 is 917125/6.

LCM(667/546, 1375/5406) = 917125/6

LCM of 667/546, 1375/5406

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 667/546,1375/5406

Given numbers are 667/546,1375/5406

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 667,1375

Least Common Multiple of Numerators i.e. LCM of 667,1375 is 917125.

GCF of Denominators means GCF of 546,5406 as per the given fractions.

GCF of 546,5406 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,1375

LCM of Fractions 667/546,1375/5406 is 917125/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 917125

Least Common Multiple of 667,1375 with GCF Formula

Least Common Multiple of 667,1375 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 667,1375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,1375) = 1

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

GCF(667,1375) x common factors =1 x 1 = 1

LCM(667,1375) = ( 667 × 1375 ) / 1

LCM(667,1375) = 917125 / 1

LCM(667,1375) = 917125


Lets's calculate GCF of 546,5406

2 546, 5406
3 273, 2703
91, 901

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 917125/6

Therefore the LCM of Fractions 667/546,1375/5406 is 917125/6

Greatest Common Factor of 546,5406 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,5406 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Greatest Common Factor

We found the factors 546,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 546,5406 is 6.


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 667/546, 1375/5406

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 667/546, 1375/5406?

Answer: LCM of Numerators as per given numbers 667/546, 1375/5406 is

LCM of Numerators i.e. for 667,1375 is 917125

GCF of denominators i.e. for 546,5406 is 6.

Thus, LCM of Fractions is 917125/6.Finally, LCM of Fractions for 667/546, 1375/5406 is 917125/6.