Least Common Multiple of 10/745, 27/985, 222/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/745, 27/985, 222/113 quickly i.e. 9990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/745, 27/985, 222/113 is 9990.

LCM(10/745, 27/985, 222/113) = 9990

LCM of 10/745, 27/985, 222/113

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 10/745,27/985,222/113

Given numbers are 10/745,27/985,222/113

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 10,27,222

Least Common Multiple of Numerators i.e. LCM of 10,27,222 is 9990.

GCF of Denominators means GCF of 745,985,113 as per the given fractions.

GCF of 745,985,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,27,222

LCM of Fractions 10/745,27/985,222/113 is 9990

2 10, 27, 222
3 5, 27, 111
5, 9, 37

∴ So the LCM of the given numbers is 2 x 3 x 5 x 9 x 37 = 9990

Least Common Multiple of 10,27,222 with GCF Formula

Least Common Multiple of 10,27,222 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 10,27,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,27,222) = 1

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

GCF(10,27,222) x common factors =1 x 6 = 6

LCM(10,27,222) = ( 10 × 27 × 222 ) / 6

LCM(10,27,222) = 59940 / 6

LCM(10,27,222) = 9990


Lets's calculate GCF of 745,985,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9990/1

Therefore the LCM of Fractions 10/745,27/985,222/113 is 9990

Greatest Common Factor of 745,985,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 745,985,113 By Matching Biggest Common Factor Method

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 745,985,113 . The biggest common factor number is the GCF number.
So the greatest common factor 745,985,113 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 10/745, 27/985, 222/113

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 10/745, 27/985, 222/113?

Answer: LCM of Numerators as per given numbers 10/745, 27/985, 222/113 is

LCM of Numerators i.e. for 10,27,222 is 9990

GCF of denominators i.e. for 745,985,113 is 1.

Thus, LCM of Fractions is 9990.Finally, LCM of Fractions for 10/745, 27/985, 222/113 is 9990.