Least Common Multiple of 3/20, 7/58, 2/51, 45/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/20, 7/58, 2/51, 45/314 quickly i.e. 630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/20, 7/58, 2/51, 45/314 is 630.

LCM(3/20, 7/58, 2/51, 45/314) = 630

LCM of 3/20, 7/58, 2/51, 45/314

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 3/20,7/58,2/51,45/314

Given numbers are 3/20,7/58,2/51,45/314

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 3,7,2,45

Least Common Multiple of Numerators i.e. LCM of 3,7,2,45 is 630.

GCF of Denominators means GCF of 20,58,51,314 as per the given fractions.

GCF of 20,58,51,314 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,7,2,45

LCM of Fractions 3/20,7/58,2/51,45/314 is 630

3 3, 7, 2, 45
1, 7, 2, 15

∴ So the LCM of the given numbers is 3 x 1 x 7 x 2 x 15 = 630

Least Common Multiple of 3,7,2,45 with GCF Formula

Least Common Multiple of 3,7,2,45 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 3,7,2,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,7,2,45) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,7,2,45) x common factors =1 x 3 = 3

LCM(3,7,2,45) = ( 3 × 7 × 2 × 45 ) / 3

LCM(3,7,2,45) = 1890 / 3

LCM(3,7,2,45) = 630


Lets's calculate GCF of 20,58,51,314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/1

Therefore the LCM of Fractions 3/20,7/58,2/51,45/314 is 630

Greatest Common Factor of 20,58,51,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,58,51,314 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 20,58,51,314 . The biggest common factor number is the GCF number.
So the greatest common factor 20,58,51,314 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 3/20, 7/58, 2/51, 45/314

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 3/20, 7/58, 2/51, 45/314?

Answer: LCM of Numerators as per given numbers 3/20, 7/58, 2/51, 45/314 is

LCM of Numerators i.e. for 3,7,2,45 is 630

GCF of denominators i.e. for 20,58,51,314 is 1.

Thus, LCM of Fractions is 630.Finally, LCM of Fractions for 3/20, 7/58, 2/51, 45/314 is 630.