Least Common Multiple of 10/112, 74/343, 532/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/112, 74/343, 532/229 quickly i.e. 98420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/112, 74/343, 532/229 is 98420.

LCM(10/112, 74/343, 532/229) = 98420

LCM of 10/112, 74/343, 532/229

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 10/112,74/343,532/229

Given numbers are 10/112,74/343,532/229

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 10,74,532

Least Common Multiple of Numerators i.e. LCM of 10,74,532 is 98420.

GCF of Denominators means GCF of 112,343,229 as per the given fractions.

GCF of 112,343,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,74,532

LCM of Fractions 10/112,74/343,532/229 is 98420

2 10, 74, 532
5, 37, 266

∴ So the LCM of the given numbers is 2 x 5 x 37 x 266 = 98420

Least Common Multiple of 10,74,532 with GCF Formula

Least Common Multiple of 10,74,532 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 10,74,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,74,532) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,74,532) x common factors =2 x 2 = 4

LCM(10,74,532) = ( 10 × 74 × 532 ) / 4

LCM(10,74,532) = 393680 / 4

LCM(10,74,532) = 98420


Lets's calculate GCF of 112,343,229

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98420/1

Therefore the LCM of Fractions 10/112,74/343,532/229 is 98420

Greatest Common Factor of 112,343,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,343,229 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 112,343,229 . The biggest common factor number is the GCF number.
So the greatest common factor 112,343,229 is 1.


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 10/112, 74/343, 532/229

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 10/112, 74/343, 532/229?

Answer: LCM of Numerators as per given numbers 10/112, 74/343, 532/229 is

LCM of Numerators i.e. for 10,74,532 is 98420

GCF of denominators i.e. for 112,343,229 is 1.

Thus, LCM of Fractions is 98420.Finally, LCM of Fractions for 10/112, 74/343, 532/229 is 98420.