Least Common Multiple of 416/168, 1342/6036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 416/168, 1342/6036 quickly i.e. 279136/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 416/168, 1342/6036 is 279136/12.

LCM(416/168, 1342/6036) = 279136/12

LCM of 416/168, 1342/6036

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 416/168,1342/6036

Given numbers are 416/168,1342/6036

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 416,1342

Least Common Multiple of Numerators i.e. LCM of 416,1342 is 279136.

GCF of Denominators means GCF of 168,6036 as per the given fractions.

GCF of 168,6036 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 416,1342

LCM of Fractions 416/168,1342/6036 is 279136/12

2 416, 1342
208, 671

∴ So the LCM of the given numbers is 2 x 208 x 671 = 279136

Least Common Multiple of 416,1342 with GCF Formula

Least Common Multiple of 416,1342 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 416,1342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,1342) = 2

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

GCF(416,1342) x common factors =2 x 1 = 2

LCM(416,1342) = ( 416 × 1342 ) / 2

LCM(416,1342) = 558272 / 2

LCM(416,1342) = 279136


Lets's calculate GCF of 168,6036

2 168, 6036
2 84, 3018
3 42, 1509
14, 503

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279136/12

Therefore the LCM of Fractions 416/168,1342/6036 is 279136/12

Greatest Common Factor of 168,6036 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,6036 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

Greatest Common Factor

We found the factors 168,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 168,6036 is 12.


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 416/168, 1342/6036

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 416/168, 1342/6036?

Answer: LCM of Numerators as per given numbers 416/168, 1342/6036 is

LCM of Numerators i.e. for 416,1342 is 279136

GCF of denominators i.e. for 168,6036 is 12.

Thus, LCM of Fractions is 279136/12.Finally, LCM of Fractions for 416/168, 1342/6036 is 279136/12.