Least Common Multiple of 45/690, 39/151, 222/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/690, 39/151, 222/998 quickly i.e. 43290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/690, 39/151, 222/998 is 43290.

LCM(45/690, 39/151, 222/998) = 43290

LCM of 45/690, 39/151, 222/998

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 45/690,39/151,222/998

Given numbers are 45/690,39/151,222/998

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 45,39,222

Least Common Multiple of Numerators i.e. LCM of 45,39,222 is 43290.

GCF of Denominators means GCF of 690,151,998 as per the given fractions.

GCF of 690,151,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,39,222

LCM of Fractions 45/690,39/151,222/998 is 43290

3 45, 39, 222
15, 13, 74

∴ So the LCM of the given numbers is 3 x 15 x 13 x 74 = 43290

Least Common Multiple of 45,39,222 with GCF Formula

Least Common Multiple of 45,39,222 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 45,39,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,39,222) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(45,39,222) x common factors =3 x 3 = 9

LCM(45,39,222) = ( 45 × 39 × 222 ) / 9

LCM(45,39,222) = 389610 / 9

LCM(45,39,222) = 43290


Lets's calculate GCF of 690,151,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43290/1

Therefore the LCM of Fractions 45/690,39/151,222/998 is 43290

Greatest Common Factor of 690,151,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,151,998 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 690,151,998 . The biggest common factor number is the GCF number.
So the greatest common factor 690,151,998 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 45/690, 39/151, 222/998

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 45/690, 39/151, 222/998?

Answer: LCM of Numerators as per given numbers 45/690, 39/151, 222/998 is

LCM of Numerators i.e. for 45,39,222 is 43290

GCF of denominators i.e. for 690,151,998 is 1.

Thus, LCM of Fractions is 43290.Finally, LCM of Fractions for 45/690, 39/151, 222/998 is 43290.