Least Common Multiple of 42/990, 85/858, 195/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/990, 85/858, 195/688 quickly i.e. 23205 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/990, 85/858, 195/688 is 23205.

LCM(42/990, 85/858, 195/688) = 23205

LCM of 42/990, 85/858, 195/688

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 42/990,85/858,195/688

Given numbers are 42/990,85/858,195/688

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 42,85,195

Least Common Multiple of Numerators i.e. LCM of 42,85,195 is 46410.

GCF of Denominators means GCF of 990,858,688 as per the given fractions.

GCF of 990,858,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,85,195

LCM of Fractions 42/990,85/858,195/688 is 23205

3 42, 85, 195
5 14, 85, 65
14, 17, 13

∴ So the LCM of the given numbers is 3 x 5 x 14 x 17 x 13 = 46410

Least Common Multiple of 42,85,195 with GCF Formula

Least Common Multiple of 42,85,195 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 42,85,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,85,195) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(42,85,195) x common factors =1 x 15 = 15

LCM(42,85,195) = ( 42 × 85 × 195 ) / 15

LCM(42,85,195) = 696150 / 15

LCM(42,85,195) = 46410


Lets's calculate GCF of 990,858,688

2 990, 858, 688
495, 429, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46410/2

Therefore the LCM of Fractions 42/990,85/858,195/688 is 23205

Greatest Common Factor of 990,858,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,858,688 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 990,858,688 . The biggest common factor number is the GCF number.
So the greatest common factor 990,858,688 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 42/990, 85/858, 195/688

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 42/990, 85/858, 195/688?

Answer: LCM of Numerators as per given numbers 42/990, 85/858, 195/688 is

LCM of Numerators i.e. for 42,85,195 is 46410

GCF of denominators i.e. for 990,858,688 is 2.

Thus, LCM of Fractions is 23205.Finally, LCM of Fractions for 42/990, 85/858, 195/688 is 23205.