Least Common Multiple of 84/938, 186/348, 409/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/938, 186/348, 409/530 quickly i.e. 532518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/938, 186/348, 409/530 is 532518.

LCM(84/938, 186/348, 409/530) = 532518

LCM of 84/938, 186/348, 409/530

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 84/938,186/348,409/530

Given numbers are 84/938,186/348,409/530

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 84,186,409

Least Common Multiple of Numerators i.e. LCM of 84,186,409 is 1065036.

GCF of Denominators means GCF of 938,348,530 as per the given fractions.

GCF of 938,348,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,186,409

LCM of Fractions 84/938,186/348,409/530 is 532518

2 84, 186, 409
3 42, 93, 409
14, 31, 409

∴ So the LCM of the given numbers is 2 x 3 x 14 x 31 x 409 = 1065036

Least Common Multiple of 84,186,409 with GCF Formula

Least Common Multiple of 84,186,409 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 84,186,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,186,409) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(84,186,409) x common factors =1 x 6 = 6

LCM(84,186,409) = ( 84 × 186 × 409 ) / 6

LCM(84,186,409) = 6390216 / 6

LCM(84,186,409) = 1065036


Lets's calculate GCF of 938,348,530

2 938, 348, 530
469, 174, 265

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1065036/2

Therefore the LCM of Fractions 84/938,186/348,409/530 is 532518

Greatest Common Factor of 938,348,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,348,530 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 938,348,530 . The biggest common factor number is the GCF number.
So the greatest common factor 938,348,530 is 2.


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 84/938, 186/348, 409/530

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 84/938, 186/348, 409/530?

Answer: LCM of Numerators as per given numbers 84/938, 186/348, 409/530 is

LCM of Numerators i.e. for 84,186,409 is 1065036

GCF of denominators i.e. for 938,348,530 is 2.

Thus, LCM of Fractions is 532518.Finally, LCM of Fractions for 84/938, 186/348, 409/530 is 532518.