Least Common Multiple of 119/55, 595/12, 678/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/55, 595/12, 678/390 quickly i.e. 403410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/55, 595/12, 678/390 is 403410.

LCM(119/55, 595/12, 678/390) = 403410

LCM of 119/55, 595/12, 678/390

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 119/55,595/12,678/390

Given numbers are 119/55,595/12,678/390

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 119,595,678

Least Common Multiple of Numerators i.e. LCM of 119,595,678 is 403410.

GCF of Denominators means GCF of 55,12,390 as per the given fractions.

GCF of 55,12,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,595,678

LCM of Fractions 119/55,595/12,678/390 is 403410

7 119, 595, 678
17 17, 85, 678
1, 5, 678

∴ So the LCM of the given numbers is 7 x 17 x 1 x 5 x 678 = 403410

Least Common Multiple of 119,595,678 with GCF Formula

Least Common Multiple of 119,595,678 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 119,595,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,595,678) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(119,595,678) x common factors =1 x 119 = 119

LCM(119,595,678) = ( 119 × 595 × 678 ) / 119

LCM(119,595,678) = 48005790 / 119

LCM(119,595,678) = 403410


Lets's calculate GCF of 55,12,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403410/1

Therefore the LCM of Fractions 119/55,595/12,678/390 is 403410

Greatest Common Factor of 55,12,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,12,390 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 55,12,390 . The biggest common factor number is the GCF number.
So the greatest common factor 55,12,390 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 119/55, 595/12, 678/390

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 119/55, 595/12, 678/390?

Answer: LCM of Numerators as per given numbers 119/55, 595/12, 678/390 is

LCM of Numerators i.e. for 119,595,678 is 403410

GCF of denominators i.e. for 55,12,390 is 1.

Thus, LCM of Fractions is 403410.Finally, LCM of Fractions for 119/55, 595/12, 678/390 is 403410.