Least Common Multiple of 412/56, 146/63, 142/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/56, 146/63, 142/648 quickly i.e. 2135396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/56, 146/63, 142/648 is 2135396.

LCM(412/56, 146/63, 142/648) = 2135396

LCM of 412/56, 146/63, 142/648

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 412/56,146/63,142/648

Given numbers are 412/56,146/63,142/648

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 412,146,142

Least Common Multiple of Numerators i.e. LCM of 412,146,142 is 2135396.

GCF of Denominators means GCF of 56,63,648 as per the given fractions.

GCF of 56,63,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,146,142

LCM of Fractions 412/56,146/63,142/648 is 2135396

2 412, 146, 142
206, 73, 71

∴ So the LCM of the given numbers is 2 x 206 x 73 x 71 = 2135396

Least Common Multiple of 412,146,142 with GCF Formula

Least Common Multiple of 412,146,142 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 412,146,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,146,142) = 2

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

GCF(412,146,142) x common factors =2 x 2 = 4

LCM(412,146,142) = ( 412 × 146 × 142 ) / 4

LCM(412,146,142) = 8541584 / 4

LCM(412,146,142) = 2135396


Lets's calculate GCF of 56,63,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2135396/1

Therefore the LCM of Fractions 412/56,146/63,142/648 is 2135396

Greatest Common Factor of 56,63,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,63,648 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 56,63,648 . The biggest common factor number is the GCF number.
So the greatest common factor 56,63,648 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 412/56, 146/63, 142/648

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 412/56, 146/63, 142/648?

Answer: LCM of Numerators as per given numbers 412/56, 146/63, 142/648 is

LCM of Numerators i.e. for 412,146,142 is 2135396

GCF of denominators i.e. for 56,63,648 is 1.

Thus, LCM of Fractions is 2135396.Finally, LCM of Fractions for 412/56, 146/63, 142/648 is 2135396.