Least Common Multiple of 210/93, 620/76, 518/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/93, 620/76, 518/30 quickly i.e. 481740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/93, 620/76, 518/30 is 481740.

LCM(210/93, 620/76, 518/30) = 481740

LCM of 210/93, 620/76, 518/30

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 210/93,620/76,518/30

Given numbers are 210/93,620/76,518/30

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 210,620,518

Least Common Multiple of Numerators i.e. LCM of 210,620,518 is 481740.

GCF of Denominators means GCF of 93,76,30 as per the given fractions.

GCF of 93,76,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,620,518

LCM of Fractions 210/93,620/76,518/30 is 481740

2 210, 620, 518
5 105, 310, 259
7 21, 62, 259
3, 62, 37

∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 62 x 37 = 481740

Least Common Multiple of 210,620,518 with GCF Formula

Least Common Multiple of 210,620,518 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 210,620,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,620,518) = 2

common factors(in case of two or more numbers have common factors) = 70

GCF(210,620,518) x common factors =2 x 70 = 140

LCM(210,620,518) = ( 210 × 620 × 518 ) / 140

LCM(210,620,518) = 67443600 / 140

LCM(210,620,518) = 481740


Lets's calculate GCF of 93,76,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 481740/1

Therefore the LCM of Fractions 210/93,620/76,518/30 is 481740

Greatest Common Factor of 93,76,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,76,30 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 93,76,30 . The biggest common factor number is the GCF number.
So the greatest common factor 93,76,30 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 210/93, 620/76, 518/30

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 210/93, 620/76, 518/30?

Answer: LCM of Numerators as per given numbers 210/93, 620/76, 518/30 is

LCM of Numerators i.e. for 210,620,518 is 481740

GCF of denominators i.e. for 93,76,30 is 1.

Thus, LCM of Fractions is 481740.Finally, LCM of Fractions for 210/93, 620/76, 518/30 is 481740.