Least Common Multiple of 4602/852, 1408/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4602/852, 1408/438 quickly i.e. 539968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4602/852, 1408/438 is 539968.

LCM(4602/852, 1408/438) = 539968

LCM of 4602/852, 1408/438

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 4602/852,1408/438

Given numbers are 4602/852,1408/438

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 4602,1408

Least Common Multiple of Numerators i.e. LCM of 4602,1408 is 3239808.

GCF of Denominators means GCF of 852,438 as per the given fractions.

GCF of 852,438 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4602,1408

LCM of Fractions 4602/852,1408/438 is 539968

2 4602, 1408
2301, 704

∴ So the LCM of the given numbers is 2 x 2301 x 704 = 3239808

Least Common Multiple of 4602,1408 with GCF Formula

Least Common Multiple of 4602,1408 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 4602,1408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4602,1408) = 2

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

GCF(4602,1408) x common factors =2 x 1 = 2

LCM(4602,1408) = ( 4602 × 1408 ) / 2

LCM(4602,1408) = 6479616 / 2

LCM(4602,1408) = 3239808


Lets's calculate GCF of 852,438

2 852, 438
3 426, 219
142, 73

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3239808/6

Therefore the LCM of Fractions 4602/852,1408/438 is 539968

Greatest Common Factor of 852,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,438 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 852,438 . The biggest common factor number is the GCF number.
So the greatest common factor 852,438 is 6.


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 4602/852, 1408/438

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 4602/852, 1408/438?

Answer: LCM of Numerators as per given numbers 4602/852, 1408/438 is

LCM of Numerators i.e. for 4602,1408 is 3239808

GCF of denominators i.e. for 852,438 is 6.

Thus, LCM of Fractions is 539968.Finally, LCM of Fractions for 4602/852, 1408/438 is 539968.