Least Common Multiple of 42/188, 909/920, 120/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/188, 909/920, 120/778 quickly i.e. 127260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/188, 909/920, 120/778 is 127260.

LCM(42/188, 909/920, 120/778) = 127260

LCM of 42/188, 909/920, 120/778

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 42/188,909/920,120/778

Given numbers are 42/188,909/920,120/778

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 42,909,120

Least Common Multiple of Numerators i.e. LCM of 42,909,120 is 254520.

GCF of Denominators means GCF of 188,920,778 as per the given fractions.

GCF of 188,920,778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,909,120

LCM of Fractions 42/188,909/920,120/778 is 127260

2 42, 909, 120
3 21, 909, 60
7, 303, 20

∴ So the LCM of the given numbers is 2 x 3 x 7 x 303 x 20 = 254520

Least Common Multiple of 42,909,120 with GCF Formula

Least Common Multiple of 42,909,120 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 42,909,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,909,120) = 3

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

GCF(42,909,120) x common factors =3 x 6 = 18

LCM(42,909,120) = ( 42 × 909 × 120 ) / 18

LCM(42,909,120) = 4581360 / 18

LCM(42,909,120) = 254520


Lets's calculate GCF of 188,920,778

2 188, 920, 778
94, 460, 389

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254520/2

Therefore the LCM of Fractions 42/188,909/920,120/778 is 127260

Greatest Common Factor of 188,920,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,920,778 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 188,920,778 . The biggest common factor number is the GCF number.
So the greatest common factor 188,920,778 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 42/188, 909/920, 120/778

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 42/188, 909/920, 120/778?

Answer: LCM of Numerators as per given numbers 42/188, 909/920, 120/778 is

LCM of Numerators i.e. for 42,909,120 is 254520

GCF of denominators i.e. for 188,920,778 is 2.

Thus, LCM of Fractions is 127260.Finally, LCM of Fractions for 42/188, 909/920, 120/778 is 127260.