Least Common Multiple of 78/106, 38/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/106, 38/420 quickly i.e. 741 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/106, 38/420 is 741.

LCM(78/106, 38/420) = 741

LCM of 78/106, 38/420

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 78/106,38/420

Given numbers are 78/106,38/420

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 78,38

Least Common Multiple of Numerators i.e. LCM of 78,38 is 1482.

GCF of Denominators means GCF of 106,420 as per the given fractions.

GCF of 106,420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,38

LCM of Fractions 78/106,38/420 is 741

2 78, 38
39, 19

∴ So the LCM of the given numbers is 2 x 39 x 19 = 1482

Least Common Multiple of 78,38 with GCF Formula

Least Common Multiple of 78,38 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 78,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,38) = 2

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

GCF(78,38) x common factors =2 x 1 = 2

LCM(78,38) = ( 78 × 38 ) / 2

LCM(78,38) = 2964 / 2

LCM(78,38) = 1482


Lets's calculate GCF of 106,420

2 106, 420
53, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1482/2

Therefore the LCM of Fractions 78/106,38/420 is 741

Greatest Common Factor of 106,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,420 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 106,420 . The biggest common factor number is the GCF number.
So the greatest common factor 106,420 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 78/106, 38/420

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 78/106, 38/420?

Answer: LCM of Numerators as per given numbers 78/106, 38/420 is

LCM of Numerators i.e. for 78,38 is 1482

GCF of denominators i.e. for 106,420 is 2.

Thus, LCM of Fractions is 741.Finally, LCM of Fractions for 78/106, 38/420 is 741.