Least Common Multiple of 68/162, 651/462, 118/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/162, 651/462, 118/730 quickly i.e. 1305906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/162, 651/462, 118/730 is 1305906.

LCM(68/162, 651/462, 118/730) = 1305906

LCM of 68/162, 651/462, 118/730

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 68/162,651/462,118/730

Given numbers are 68/162,651/462,118/730

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 68,651,118

Least Common Multiple of Numerators i.e. LCM of 68,651,118 is 2611812.

GCF of Denominators means GCF of 162,462,730 as per the given fractions.

GCF of 162,462,730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,651,118

LCM of Fractions 68/162,651/462,118/730 is 1305906

2 68, 651, 118
34, 651, 59

∴ So the LCM of the given numbers is 2 x 34 x 651 x 59 = 2611812

Least Common Multiple of 68,651,118 with GCF Formula

Least Common Multiple of 68,651,118 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 68,651,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,651,118) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,651,118) x common factors =1 x 2 = 2

LCM(68,651,118) = ( 68 × 651 × 118 ) / 2

LCM(68,651,118) = 5223624 / 2

LCM(68,651,118) = 2611812


Lets's calculate GCF of 162,462,730

2 162, 462, 730
81, 231, 365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2611812/2

Therefore the LCM of Fractions 68/162,651/462,118/730 is 1305906

Greatest Common Factor of 162,462,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,462,730 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 162,462,730 . The biggest common factor number is the GCF number.
So the greatest common factor 162,462,730 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 68/162, 651/462, 118/730

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 68/162, 651/462, 118/730?

Answer: LCM of Numerators as per given numbers 68/162, 651/462, 118/730 is

LCM of Numerators i.e. for 68,651,118 is 2611812

GCF of denominators i.e. for 162,462,730 is 2.

Thus, LCM of Fractions is 1305906.Finally, LCM of Fractions for 68/162, 651/462, 118/730 is 1305906.