Least Common Multiple of 68/13, 152/74, 864/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/13, 152/74, 864/514 quickly i.e. 279072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/13, 152/74, 864/514 is 279072.

LCM(68/13, 152/74, 864/514) = 279072

LCM of 68/13, 152/74, 864/514

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 68/13,152/74,864/514

Given numbers are 68/13,152/74,864/514

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 68,152,864

Least Common Multiple of Numerators i.e. LCM of 68,152,864 is 279072.

GCF of Denominators means GCF of 13,74,514 as per the given fractions.

GCF of 13,74,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,152,864

LCM of Fractions 68/13,152/74,864/514 is 279072

2 68, 152, 864
2 34, 76, 432
2 17, 38, 216
17, 19, 108

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 19 x 108 = 279072

Least Common Multiple of 68,152,864 with GCF Formula

Least Common Multiple of 68,152,864 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 68,152,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,152,864) = 4

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

GCF(68,152,864) x common factors =4 x 8 = 32

LCM(68,152,864) = ( 68 × 152 × 864 ) / 32

LCM(68,152,864) = 8930304 / 32

LCM(68,152,864) = 279072


Lets's calculate GCF of 13,74,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279072/1

Therefore the LCM of Fractions 68/13,152/74,864/514 is 279072

Greatest Common Factor of 13,74,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,74,514 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 13,74,514 . The biggest common factor number is the GCF number.
So the greatest common factor 13,74,514 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 68/13, 152/74, 864/514

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 68/13, 152/74, 864/514?

Answer: LCM of Numerators as per given numbers 68/13, 152/74, 864/514 is

LCM of Numerators i.e. for 68,152,864 is 279072

GCF of denominators i.e. for 13,74,514 is 1.

Thus, LCM of Fractions is 279072.Finally, LCM of Fractions for 68/13, 152/74, 864/514 is 279072.