Least Common Multiple of 27/684, 160/14, 595/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/684, 160/14, 595/646 quickly i.e. 257040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/684, 160/14, 595/646 is 257040.

LCM(27/684, 160/14, 595/646) = 257040

LCM of 27/684, 160/14, 595/646

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 27/684,160/14,595/646

Given numbers are 27/684,160/14,595/646

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 27,160,595

Least Common Multiple of Numerators i.e. LCM of 27,160,595 is 514080.

GCF of Denominators means GCF of 684,14,646 as per the given fractions.

GCF of 684,14,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,160,595

LCM of Fractions 27/684,160/14,595/646 is 257040

5 27, 160, 595
27, 32, 119

∴ So the LCM of the given numbers is 5 x 27 x 32 x 119 = 514080

Least Common Multiple of 27,160,595 with GCF Formula

Least Common Multiple of 27,160,595 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 27,160,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,160,595) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(27,160,595) x common factors =1 x 5 = 5

LCM(27,160,595) = ( 27 × 160 × 595 ) / 5

LCM(27,160,595) = 2570400 / 5

LCM(27,160,595) = 514080


Lets's calculate GCF of 684,14,646

2 684, 14, 646
342, 7, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514080/2

Therefore the LCM of Fractions 27/684,160/14,595/646 is 257040

Greatest Common Factor of 684,14,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,14,646 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 684,14,646 . The biggest common factor number is the GCF number.
So the greatest common factor 684,14,646 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 27/684, 160/14, 595/646

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 27/684, 160/14, 595/646?

Answer: LCM of Numerators as per given numbers 27/684, 160/14, 595/646 is

LCM of Numerators i.e. for 27,160,595 is 514080

GCF of denominators i.e. for 684,14,646 is 2.

Thus, LCM of Fractions is 257040.Finally, LCM of Fractions for 27/684, 160/14, 595/646 is 257040.