Least Common Multiple of 3668/64, 6961/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3668/64, 6961/671 quickly i.e. 25532948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3668/64, 6961/671 is 25532948.

LCM(3668/64, 6961/671) = 25532948

LCM of 3668/64, 6961/671

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 3668/64,6961/671

Given numbers are 3668/64,6961/671

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 3668,6961

Least Common Multiple of Numerators i.e. LCM of 3668,6961 is 25532948.

GCF of Denominators means GCF of 64,671 as per the given fractions.

GCF of 64,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3668,6961

LCM of Fractions 3668/64,6961/671 is 25532948

Given numbers has no common factors except 1. So, there LCM is their product i.e 25532948

Least Common Multiple of 3668,6961 with GCF Formula

Least Common Multiple of 3668,6961 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 3668,6961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3668,6961) = 1

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

GCF(3668,6961) x common factors =1 x 1 = 1

LCM(3668,6961) = ( 3668 × 6961 ) / 1

LCM(3668,6961) = 25532948 / 1

LCM(3668,6961) = 25532948


Lets's calculate GCF of 64,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25532948/1

Therefore the LCM of Fractions 3668/64,6961/671 is 25532948

Greatest Common Factor of 64,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,671 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 64,671 . The biggest common factor number is the GCF number.
So the greatest common factor 64,671 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3668/64, 6961/671

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 3668/64, 6961/671?

Answer: LCM of Numerators as per given numbers 3668/64, 6961/671 is

LCM of Numerators i.e. for 3668,6961 is 25532948

GCF of denominators i.e. for 64,671 is 1.

Thus, LCM of Fractions is 25532948.Finally, LCM of Fractions for 3668/64, 6961/671 is 25532948.