Least Common Multiple of 42/208, 772/186, 587/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/208, 772/186, 587/160 quickly i.e. 4758222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/208, 772/186, 587/160 is 4758222.

LCM(42/208, 772/186, 587/160) = 4758222

LCM of 42/208, 772/186, 587/160

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 42/208,772/186,587/160

Given numbers are 42/208,772/186,587/160

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 42,772,587

Least Common Multiple of Numerators i.e. LCM of 42,772,587 is 9516444.

GCF of Denominators means GCF of 208,186,160 as per the given fractions.

GCF of 208,186,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,772,587

LCM of Fractions 42/208,772/186,587/160 is 4758222

2 42, 772, 587
21, 386, 587

∴ So the LCM of the given numbers is 2 x 21 x 386 x 587 = 9516444

Least Common Multiple of 42,772,587 with GCF Formula

Least Common Multiple of 42,772,587 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 42,772,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,772,587) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,772,587) x common factors =1 x 2 = 2

LCM(42,772,587) = ( 42 × 772 × 587 ) / 2

LCM(42,772,587) = 19032888 / 2

LCM(42,772,587) = 9516444


Lets's calculate GCF of 208,186,160

2 208, 186, 160
104, 93, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9516444/2

Therefore the LCM of Fractions 42/208,772/186,587/160 is 4758222

Greatest Common Factor of 208,186,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,186,160 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 208,186,160 . The biggest common factor number is the GCF number.
So the greatest common factor 208,186,160 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 42/208, 772/186, 587/160

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 42/208, 772/186, 587/160?

Answer: LCM of Numerators as per given numbers 42/208, 772/186, 587/160 is

LCM of Numerators i.e. for 42,772,587 is 9516444

GCF of denominators i.e. for 208,186,160 is 2.

Thus, LCM of Fractions is 4758222.Finally, LCM of Fractions for 42/208, 772/186, 587/160 is 4758222.