Least Common Multiple of 4206/422, 5416/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4206/422, 5416/740 quickly i.e. 5694924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4206/422, 5416/740 is 5694924.

LCM(4206/422, 5416/740) = 5694924

LCM of 4206/422, 5416/740

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 4206/422,5416/740

Given numbers are 4206/422,5416/740

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 4206,5416

Least Common Multiple of Numerators i.e. LCM of 4206,5416 is 11389848.

GCF of Denominators means GCF of 422,740 as per the given fractions.

GCF of 422,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4206,5416

LCM of Fractions 4206/422,5416/740 is 5694924

2 4206, 5416
2103, 2708

∴ So the LCM of the given numbers is 2 x 2103 x 2708 = 11389848

Least Common Multiple of 4206,5416 with GCF Formula

Least Common Multiple of 4206,5416 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 4206,5416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4206,5416) = 2

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

GCF(4206,5416) x common factors =2 x 1 = 2

LCM(4206,5416) = ( 4206 × 5416 ) / 2

LCM(4206,5416) = 22779696 / 2

LCM(4206,5416) = 11389848


Lets's calculate GCF of 422,740

2 422, 740
211, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11389848/2

Therefore the LCM of Fractions 4206/422,5416/740 is 5694924

Greatest Common Factor of 422,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,740 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 422,740 . The biggest common factor number is the GCF number.
So the greatest common factor 422,740 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 4206/422, 5416/740

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 4206/422, 5416/740?

Answer: LCM of Numerators as per given numbers 4206/422, 5416/740 is

LCM of Numerators i.e. for 4206,5416 is 11389848

GCF of denominators i.e. for 422,740 is 2.

Thus, LCM of Fractions is 5694924.Finally, LCM of Fractions for 4206/422, 5416/740 is 5694924.