Least Common Multiple of 672/18, 903/59, 380/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/18, 903/59, 380/854 quickly i.e. 2745120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/18, 903/59, 380/854 is 2745120.

LCM(672/18, 903/59, 380/854) = 2745120

LCM of 672/18, 903/59, 380/854

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 672/18,903/59,380/854

Given numbers are 672/18,903/59,380/854

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 672,903,380

Least Common Multiple of Numerators i.e. LCM of 672,903,380 is 2745120.

GCF of Denominators means GCF of 18,59,854 as per the given fractions.

GCF of 18,59,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,903,380

LCM of Fractions 672/18,903/59,380/854 is 2745120

2 672, 903, 380
2 336, 903, 190
3 168, 903, 95
7 56, 301, 95
8, 43, 95

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 43 x 95 = 2745120

Least Common Multiple of 672,903,380 with GCF Formula

Least Common Multiple of 672,903,380 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 672,903,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,903,380) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(672,903,380) x common factors =1 x 84 = 84

LCM(672,903,380) = ( 672 × 903 × 380 ) / 84

LCM(672,903,380) = 230590080 / 84

LCM(672,903,380) = 2745120


Lets's calculate GCF of 18,59,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2745120/1

Therefore the LCM of Fractions 672/18,903/59,380/854 is 2745120

Greatest Common Factor of 18,59,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,59,854 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 18,59,854 . The biggest common factor number is the GCF number.
So the greatest common factor 18,59,854 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 672/18, 903/59, 380/854

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 672/18, 903/59, 380/854?

Answer: LCM of Numerators as per given numbers 672/18, 903/59, 380/854 is

LCM of Numerators i.e. for 672,903,380 is 2745120

GCF of denominators i.e. for 18,59,854 is 1.

Thus, LCM of Fractions is 2745120.Finally, LCM of Fractions for 672/18, 903/59, 380/854 is 2745120.