Least Common Multiple of 7/120, 27/658, 82/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/120, 27/658, 82/355 quickly i.e. 15498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/120, 27/658, 82/355 is 15498.

LCM(7/120, 27/658, 82/355) = 15498

LCM of 7/120, 27/658, 82/355

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 7/120,27/658,82/355

Given numbers are 7/120,27/658,82/355

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 7,27,82

Least Common Multiple of Numerators i.e. LCM of 7,27,82 is 15498.

GCF of Denominators means GCF of 120,658,355 as per the given fractions.

GCF of 120,658,355 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,27,82

LCM of Fractions 7/120,27/658,82/355 is 15498

Given numbers has no common factors except 1. So, there LCM is their product i.e 15498

Least Common Multiple of 7,27,82 with GCF Formula

Least Common Multiple of 7,27,82 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 7,27,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,27,82) = 1

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

GCF(7,27,82) x common factors =1 x 1 = 1

LCM(7,27,82) = ( 7 × 27 × 82 ) / 1

LCM(7,27,82) = 15498 / 1

LCM(7,27,82) = 15498


Lets's calculate GCF of 120,658,355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15498/1

Therefore the LCM of Fractions 7/120,27/658,82/355 is 15498

Greatest Common Factor of 120,658,355 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,658,355 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Greatest Common Factor

We found the factors 120,658,355 . The biggest common factor number is the GCF number.
So the greatest common factor 120,658,355 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 7/120, 27/658, 82/355

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 7/120, 27/658, 82/355?

Answer: LCM of Numerators as per given numbers 7/120, 27/658, 82/355 is

LCM of Numerators i.e. for 7,27,82 is 15498

GCF of denominators i.e. for 120,658,355 is 1.

Thus, LCM of Fractions is 15498.Finally, LCM of Fractions for 7/120, 27/658, 82/355 is 15498.