Least Common Multiple of 530/84, 264/34, 344/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/84, 264/34, 344/146 quickly i.e. 1504140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/84, 264/34, 344/146 is 1504140.

LCM(530/84, 264/34, 344/146) = 1504140

LCM of 530/84, 264/34, 344/146

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 530/84,264/34,344/146

Given numbers are 530/84,264/34,344/146

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 530,264,344

Least Common Multiple of Numerators i.e. LCM of 530,264,344 is 3008280.

GCF of Denominators means GCF of 84,34,146 as per the given fractions.

GCF of 84,34,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,264,344

LCM of Fractions 530/84,264/34,344/146 is 1504140

2 530, 264, 344
2 265, 132, 172
2 265, 66, 86
265, 33, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 265 x 33 x 43 = 3008280

Least Common Multiple of 530,264,344 with GCF Formula

Least Common Multiple of 530,264,344 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 530,264,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,264,344) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(530,264,344) x common factors =2 x 8 = 16

LCM(530,264,344) = ( 530 × 264 × 344 ) / 16

LCM(530,264,344) = 48132480 / 16

LCM(530,264,344) = 3008280


Lets's calculate GCF of 84,34,146

2 84, 34, 146
42, 17, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3008280/2

Therefore the LCM of Fractions 530/84,264/34,344/146 is 1504140

Greatest Common Factor of 84,34,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,34,146 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 84,34,146 . The biggest common factor number is the GCF number.
So the greatest common factor 84,34,146 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 530/84, 264/34, 344/146

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 530/84, 264/34, 344/146?

Answer: LCM of Numerators as per given numbers 530/84, 264/34, 344/146 is

LCM of Numerators i.e. for 530,264,344 is 3008280

GCF of denominators i.e. for 84,34,146 is 2.

Thus, LCM of Fractions is 1504140.Finally, LCM of Fractions for 530/84, 264/34, 344/146 is 1504140.