Least Common Multiple of 973/38, 500/78, 574/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/38, 500/78, 574/442 quickly i.e. 9973250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/38, 500/78, 574/442 is 9973250.

LCM(973/38, 500/78, 574/442) = 9973250

LCM of 973/38, 500/78, 574/442

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 973/38,500/78,574/442

Given numbers are 973/38,500/78,574/442

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 973,500,574

Least Common Multiple of Numerators i.e. LCM of 973,500,574 is 19946500.

GCF of Denominators means GCF of 38,78,442 as per the given fractions.

GCF of 38,78,442 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,500,574

LCM of Fractions 973/38,500/78,574/442 is 9973250

2 973, 500, 574
7 973, 250, 287
139, 250, 41

∴ So the LCM of the given numbers is 2 x 7 x 139 x 250 x 41 = 19946500

Least Common Multiple of 973,500,574 with GCF Formula

Least Common Multiple of 973,500,574 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 973,500,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,500,574) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(973,500,574) x common factors =1 x 14 = 14

LCM(973,500,574) = ( 973 × 500 × 574 ) / 14

LCM(973,500,574) = 279251000 / 14

LCM(973,500,574) = 19946500


Lets's calculate GCF of 38,78,442

2 38, 78, 442
19, 39, 221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19946500/2

Therefore the LCM of Fractions 973/38,500/78,574/442 is 9973250

Greatest Common Factor of 38,78,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,78,442 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 38,78,442 . The biggest common factor number is the GCF number.
So the greatest common factor 38,78,442 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 973/38, 500/78, 574/442

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 973/38, 500/78, 574/442?

Answer: LCM of Numerators as per given numbers 973/38, 500/78, 574/442 is

LCM of Numerators i.e. for 973,500,574 is 19946500

GCF of denominators i.e. for 38,78,442 is 2.

Thus, LCM of Fractions is 9973250.Finally, LCM of Fractions for 973/38, 500/78, 574/442 is 9973250.