Least Common Multiple of 145/682, 387/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/682, 387/272 quickly i.e. 56115/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/682, 387/272 is 56115/2.

LCM(145/682, 387/272) = 56115/2

LCM of 145/682, 387/272

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 145/682,387/272

Given numbers are 145/682,387/272

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 145,387

Least Common Multiple of Numerators i.e. LCM of 145,387 is 56115.

GCF of Denominators means GCF of 682,272 as per the given fractions.

GCF of 682,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,387

LCM of Fractions 145/682,387/272 is 56115/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 56115

Least Common Multiple of 145,387 with GCF Formula

Least Common Multiple of 145,387 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 145,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,387) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(145,387) x common factors =1 x 1 = 1

LCM(145,387) = ( 145 × 387 ) / 1

LCM(145,387) = 56115 / 1

LCM(145,387) = 56115


Lets's calculate GCF of 682,272

2 682, 272
341, 136

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56115/2

Therefore the LCM of Fractions 145/682,387/272 is 56115/2

Greatest Common Factor of 682,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,272 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 682,272 . The biggest common factor number is the GCF number.
So the greatest common factor 682,272 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 145/682, 387/272

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 145/682, 387/272?

Answer: LCM of Numerators as per given numbers 145/682, 387/272 is

LCM of Numerators i.e. for 145,387 is 56115

GCF of denominators i.e. for 682,272 is 2.

Thus, LCM of Fractions is 56115/2.Finally, LCM of Fractions for 145/682, 387/272 is 56115/2.