Least Common Multiple of 4352/329, 9733/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4352/329, 9733/870 quickly i.e. 42358016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4352/329, 9733/870 is 42358016.

LCM(4352/329, 9733/870) = 42358016

LCM of 4352/329, 9733/870

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 4352/329,9733/870

Given numbers are 4352/329,9733/870

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 4352,9733

Least Common Multiple of Numerators i.e. LCM of 4352,9733 is 42358016.

GCF of Denominators means GCF of 329,870 as per the given fractions.

GCF of 329,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4352,9733

LCM of Fractions 4352/329,9733/870 is 42358016

Given numbers has no common factors except 1. So, there LCM is their product i.e 42358016

Least Common Multiple of 4352,9733 with GCF Formula

Least Common Multiple of 4352,9733 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 4352,9733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4352,9733) = 1

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

GCF(4352,9733) x common factors =1 x 1 = 1

LCM(4352,9733) = ( 4352 × 9733 ) / 1

LCM(4352,9733) = 42358016 / 1

LCM(4352,9733) = 42358016


Lets's calculate GCF of 329,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42358016/1

Therefore the LCM of Fractions 4352/329,9733/870 is 42358016

Greatest Common Factor of 329,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,870 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 329,870 . The biggest common factor number is the GCF number.
So the greatest common factor 329,870 is 1.


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Frequently Asked Questions on Fractional LCM of 4352/329, 9733/870

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 4352/329, 9733/870?

Answer: LCM of Numerators as per given numbers 4352/329, 9733/870 is

LCM of Numerators i.e. for 4352,9733 is 42358016

GCF of denominators i.e. for 329,870 is 1.

Thus, LCM of Fractions is 42358016.Finally, LCM of Fractions for 4352/329, 9733/870 is 42358016.