Least Common Multiple of 464/42, 2668/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/42, 2668/103 quickly i.e. 10672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/42, 2668/103 is 10672.

LCM(464/42, 2668/103) = 10672

LCM of 464/42, 2668/103

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 464/42,2668/103

Given numbers are 464/42,2668/103

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 464,2668

Least Common Multiple of Numerators i.e. LCM of 464,2668 is 10672.

GCF of Denominators means GCF of 42,103 as per the given fractions.

GCF of 42,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,2668

LCM of Fractions 464/42,2668/103 is 10672

2 464, 2668
2 232, 1334
29 116, 667
4, 23

∴ So the LCM of the given numbers is 2 x 2 x 29 x 4 x 23 = 10672

Least Common Multiple of 464,2668 with GCF Formula

Least Common Multiple of 464,2668 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 464,2668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,2668) = 116

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

GCF(464,2668) x common factors =116 x 1 = 116

LCM(464,2668) = ( 464 × 2668 ) / 116

LCM(464,2668) = 1237952 / 116

LCM(464,2668) = 10672


Lets's calculate GCF of 42,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10672/1

Therefore the LCM of Fractions 464/42,2668/103 is 10672

Greatest Common Factor of 42,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,103 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 42,103 . The biggest common factor number is the GCF number.
So the greatest common factor 42,103 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 464/42, 2668/103

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 464/42, 2668/103?

Answer: LCM of Numerators as per given numbers 464/42, 2668/103 is

LCM of Numerators i.e. for 464,2668 is 10672

GCF of denominators i.e. for 42,103 is 1.

Thus, LCM of Fractions is 10672.Finally, LCM of Fractions for 464/42, 2668/103 is 10672.