Least Common Multiple of 974/95, 745/26, 284/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 974/95, 745/26, 284/18 quickly i.e. 103039460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 974/95, 745/26, 284/18 is 103039460.

LCM(974/95, 745/26, 284/18) = 103039460

LCM of 974/95, 745/26, 284/18

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 974/95,745/26,284/18

Given numbers are 974/95,745/26,284/18

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 974,745,284

Least Common Multiple of Numerators i.e. LCM of 974,745,284 is 103039460.

GCF of Denominators means GCF of 95,26,18 as per the given fractions.

GCF of 95,26,18 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 974,745,284

LCM of Fractions 974/95,745/26,284/18 is 103039460

2 974, 745, 284
487, 745, 142

∴ So the LCM of the given numbers is 2 x 487 x 745 x 142 = 103039460

Least Common Multiple of 974,745,284 with GCF Formula

Least Common Multiple of 974,745,284 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 974,745,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,745,284) = 1

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

GCF(974,745,284) x common factors =1 x 2 = 2

LCM(974,745,284) = ( 974 × 745 × 284 ) / 2

LCM(974,745,284) = 206078920 / 2

LCM(974,745,284) = 103039460


Lets's calculate GCF of 95,26,18

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103039460/1

Therefore the LCM of Fractions 974/95,745/26,284/18 is 103039460

Greatest Common Factor of 95,26,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,26,18 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 18

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

1,2,3,6,9,18

Greatest Common Factor

We found the factors 95,26,18 . The biggest common factor number is the GCF number.
So the greatest common factor 95,26,18 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 974/95, 745/26, 284/18

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 974/95, 745/26, 284/18?

Answer: LCM of Numerators as per given numbers 974/95, 745/26, 284/18 is

LCM of Numerators i.e. for 974,745,284 is 103039460

GCF of denominators i.e. for 95,26,18 is 1.

Thus, LCM of Fractions is 103039460.Finally, LCM of Fractions for 974/95, 745/26, 284/18 is 103039460.