Least Common Multiple of 352/472, 436/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/472, 436/592 quickly i.e. 4796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/472, 436/592 is 4796.

LCM(352/472, 436/592) = 4796

LCM of 352/472, 436/592

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 352/472,436/592

Given numbers are 352/472,436/592

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 352,436

Least Common Multiple of Numerators i.e. LCM of 352,436 is 38368.

GCF of Denominators means GCF of 472,592 as per the given fractions.

GCF of 472,592 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,436

LCM of Fractions 352/472,436/592 is 4796

2 352, 436
2 176, 218
88, 109

∴ So the LCM of the given numbers is 2 x 2 x 88 x 109 = 38368

Least Common Multiple of 352,436 with GCF Formula

Least Common Multiple of 352,436 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 352,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,436) = 4

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

GCF(352,436) x common factors =4 x 1 = 4

LCM(352,436) = ( 352 × 436 ) / 4

LCM(352,436) = 153472 / 4

LCM(352,436) = 38368


Lets's calculate GCF of 472,592

2 472, 592
2 236, 296
2 118, 148
59, 74

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38368/8

Therefore the LCM of Fractions 352/472,436/592 is 4796

Greatest Common Factor of 472,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,592 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 472,592 . The biggest common factor number is the GCF number.
So the greatest common factor 472,592 is 8.


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 352/472, 436/592

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 352/472, 436/592?

Answer: LCM of Numerators as per given numbers 352/472, 436/592 is

LCM of Numerators i.e. for 352,436 is 38368

GCF of denominators i.e. for 472,592 is 8.

Thus, LCM of Fractions is 4796.Finally, LCM of Fractions for 352/472, 436/592 is 4796.