Least Common Multiple of 667/154, 1651/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 667/154, 1651/675 quickly i.e. 1101217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 667/154, 1651/675 is 1101217.

LCM(667/154, 1651/675) = 1101217

LCM of 667/154, 1651/675

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 667/154,1651/675

Given numbers are 667/154,1651/675

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 667,1651

Least Common Multiple of Numerators i.e. LCM of 667,1651 is 1101217.

GCF of Denominators means GCF of 154,675 as per the given fractions.

GCF of 154,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 667,1651

LCM of Fractions 667/154,1651/675 is 1101217

Given numbers has no common factors except 1. So, there LCM is their product i.e 1101217

Least Common Multiple of 667,1651 with GCF Formula

Least Common Multiple of 667,1651 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 667,1651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,1651) = 1

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

GCF(667,1651) x common factors =1 x 1 = 1

LCM(667,1651) = ( 667 × 1651 ) / 1

LCM(667,1651) = 1101217 / 1

LCM(667,1651) = 1101217


Lets's calculate GCF of 154,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1101217/1

Therefore the LCM of Fractions 667/154,1651/675 is 1101217

Greatest Common Factor of 154,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,675 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 154,675 . The biggest common factor number is the GCF number.
So the greatest common factor 154,675 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 667/154, 1651/675

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 667/154, 1651/675?

Answer: LCM of Numerators as per given numbers 667/154, 1651/675 is

LCM of Numerators i.e. for 667,1651 is 1101217

GCF of denominators i.e. for 154,675 is 1.

Thus, LCM of Fractions is 1101217.Finally, LCM of Fractions for 667/154, 1651/675 is 1101217.