Least Common Multiple of 664/670, 3054/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/670, 3054/975 quickly i.e. 1013928/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/670, 3054/975 is 1013928/5.

LCM(664/670, 3054/975) = 1013928/5

LCM of 664/670, 3054/975

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 664/670,3054/975

Given numbers are 664/670,3054/975

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 664,3054

Least Common Multiple of Numerators i.e. LCM of 664,3054 is 1013928.

GCF of Denominators means GCF of 670,975 as per the given fractions.

GCF of 670,975 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,3054

LCM of Fractions 664/670,3054/975 is 1013928/5

2 664, 3054
332, 1527

∴ So the LCM of the given numbers is 2 x 332 x 1527 = 1013928

Least Common Multiple of 664,3054 with GCF Formula

Least Common Multiple of 664,3054 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 664,3054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,3054) = 2

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

GCF(664,3054) x common factors =2 x 1 = 2

LCM(664,3054) = ( 664 × 3054 ) / 2

LCM(664,3054) = 2027856 / 2

LCM(664,3054) = 1013928


Lets's calculate GCF of 670,975

5 670, 975
134, 195

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1013928/5

Therefore the LCM of Fractions 664/670,3054/975 is 1013928/5

Greatest Common Factor of 670,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,975 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 670,975 . The biggest common factor number is the GCF number.
So the greatest common factor 670,975 is 5.


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 664/670, 3054/975

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 664/670, 3054/975?

Answer: LCM of Numerators as per given numbers 664/670, 3054/975 is

LCM of Numerators i.e. for 664,3054 is 1013928

GCF of denominators i.e. for 670,975 is 5.

Thus, LCM of Fractions is 1013928/5.Finally, LCM of Fractions for 664/670, 3054/975 is 1013928/5.