Least Common Multiple of 42/584, 3155/2078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/584, 3155/2078 quickly i.e. 66255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/584, 3155/2078 is 66255.

LCM(42/584, 3155/2078) = 66255

LCM of 42/584, 3155/2078

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 42/584,3155/2078

Given numbers are 42/584,3155/2078

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 42,3155

Least Common Multiple of Numerators i.e. LCM of 42,3155 is 132510.

GCF of Denominators means GCF of 584,2078 as per the given fractions.

GCF of 584,2078 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,3155

LCM of Fractions 42/584,3155/2078 is 66255

Given numbers has no common factors except 1. So, there LCM is their product i.e 132510

Least Common Multiple of 42,3155 with GCF Formula

Least Common Multiple of 42,3155 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 42,3155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,3155) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(42,3155) x common factors =1 x 1 = 1

LCM(42,3155) = ( 42 × 3155 ) / 1

LCM(42,3155) = 132510 / 1

LCM(42,3155) = 132510


Lets's calculate GCF of 584,2078

2 584, 2078
292, 1039

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132510/2

Therefore the LCM of Fractions 42/584,3155/2078 is 66255

Greatest Common Factor of 584,2078 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,2078 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

Greatest Common Factor

We found the factors 584,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 584,2078 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 42/584, 3155/2078

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 42/584, 3155/2078?

Answer: LCM of Numerators as per given numbers 42/584, 3155/2078 is

LCM of Numerators i.e. for 42,3155 is 132510

GCF of denominators i.e. for 584,2078 is 2.

Thus, LCM of Fractions is 66255.Finally, LCM of Fractions for 42/584, 3155/2078 is 66255.