Least Common Multiple of 93/574, 42/508, 870/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/574, 42/508, 870/725 quickly i.e. 188790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/574, 42/508, 870/725 is 188790.

LCM(93/574, 42/508, 870/725) = 188790

LCM of 93/574, 42/508, 870/725

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 93/574,42/508,870/725

Given numbers are 93/574,42/508,870/725

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 93,42,870

Least Common Multiple of Numerators i.e. LCM of 93,42,870 is 188790.

GCF of Denominators means GCF of 574,508,725 as per the given fractions.

GCF of 574,508,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,42,870

LCM of Fractions 93/574,42/508,870/725 is 188790

2 93, 42, 870
3 93, 21, 435
31, 7, 145

∴ So the LCM of the given numbers is 2 x 3 x 31 x 7 x 145 = 188790

Least Common Multiple of 93,42,870 with GCF Formula

Least Common Multiple of 93,42,870 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 93,42,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,42,870) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(93,42,870) x common factors =3 x 6 = 18

LCM(93,42,870) = ( 93 × 42 × 870 ) / 18

LCM(93,42,870) = 3398220 / 18

LCM(93,42,870) = 188790


Lets's calculate GCF of 574,508,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188790/1

Therefore the LCM of Fractions 93/574,42/508,870/725 is 188790

Greatest Common Factor of 574,508,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,508,725 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 574,508,725 . The biggest common factor number is the GCF number.
So the greatest common factor 574,508,725 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 93/574, 42/508, 870/725

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 93/574, 42/508, 870/725?

Answer: LCM of Numerators as per given numbers 93/574, 42/508, 870/725 is

LCM of Numerators i.e. for 93,42,870 is 188790

GCF of denominators i.e. for 574,508,725 is 1.

Thus, LCM of Fractions is 188790.Finally, LCM of Fractions for 93/574, 42/508, 870/725 is 188790.