Least Common Multiple of 642/572, 4178/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/572, 4178/352 quickly i.e. 1341138/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/572, 4178/352 is 1341138/44.

LCM(642/572, 4178/352) = 1341138/44

LCM of 642/572, 4178/352

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 642/572,4178/352

Given numbers are 642/572,4178/352

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 642,4178

Least Common Multiple of Numerators i.e. LCM of 642,4178 is 1341138.

GCF of Denominators means GCF of 572,352 as per the given fractions.

GCF of 572,352 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,4178

LCM of Fractions 642/572,4178/352 is 1341138/44

2 642, 4178
321, 2089

∴ So the LCM of the given numbers is 2 x 321 x 2089 = 1341138

Least Common Multiple of 642,4178 with GCF Formula

Least Common Multiple of 642,4178 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 642,4178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,4178) = 2

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

GCF(642,4178) x common factors =2 x 1 = 2

LCM(642,4178) = ( 642 × 4178 ) / 2

LCM(642,4178) = 2682276 / 2

LCM(642,4178) = 1341138


Lets's calculate GCF of 572,352

2 572, 352
2 286, 176
11 143, 88
13, 8

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1341138/44

Therefore the LCM of Fractions 642/572,4178/352 is 1341138/44

Greatest Common Factor of 572,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,352 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 572,352 . The biggest common factor number is the GCF number.
So the greatest common factor 572,352 is 44.


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 642/572, 4178/352

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 642/572, 4178/352?

Answer: LCM of Numerators as per given numbers 642/572, 4178/352 is

LCM of Numerators i.e. for 642,4178 is 1341138

GCF of denominators i.e. for 572,352 is 44.

Thus, LCM of Fractions is 1341138/44.Finally, LCM of Fractions for 642/572, 4178/352 is 1341138/44.