Least Common Multiple of 30/786, 210/487, 139/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/786, 210/487, 139/252 quickly i.e. 29190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/786, 210/487, 139/252 is 29190.

LCM(30/786, 210/487, 139/252) = 29190

LCM of 30/786, 210/487, 139/252

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 30/786,210/487,139/252

Given numbers are 30/786,210/487,139/252

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 30,210,139

Least Common Multiple of Numerators i.e. LCM of 30,210,139 is 29190.

GCF of Denominators means GCF of 786,487,252 as per the given fractions.

GCF of 786,487,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,210,139

LCM of Fractions 30/786,210/487,139/252 is 29190

2 30, 210, 139
3 15, 105, 139
5 5, 35, 139
1, 7, 139

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 7 x 139 = 29190

Least Common Multiple of 30,210,139 with GCF Formula

Least Common Multiple of 30,210,139 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 30,210,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,210,139) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(30,210,139) x common factors =1 x 30 = 30

LCM(30,210,139) = ( 30 × 210 × 139 ) / 30

LCM(30,210,139) = 875700 / 30

LCM(30,210,139) = 29190


Lets's calculate GCF of 786,487,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29190/1

Therefore the LCM of Fractions 30/786,210/487,139/252 is 29190

Greatest Common Factor of 786,487,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,487,252 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 786,487,252 . The biggest common factor number is the GCF number.
So the greatest common factor 786,487,252 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 30/786, 210/487, 139/252

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 30/786, 210/487, 139/252?

Answer: LCM of Numerators as per given numbers 30/786, 210/487, 139/252 is

LCM of Numerators i.e. for 30,210,139 is 29190

GCF of denominators i.e. for 786,487,252 is 1.

Thus, LCM of Fractions is 29190.Finally, LCM of Fractions for 30/786, 210/487, 139/252 is 29190.