Least Common Multiple of 352/680, 579/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 352/680, 579/921 quickly i.e. 203808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/680, 579/921 is 203808.

LCM(352/680, 579/921) = 203808

LCM of 352/680, 579/921

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 352/680,579/921

Given numbers are 352/680,579/921

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 352,579

Least Common Multiple of Numerators i.e. LCM of 352,579 is 203808.

GCF of Denominators means GCF of 680,921 as per the given fractions.

GCF of 680,921 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,579

LCM of Fractions 352/680,579/921 is 203808

Given numbers has no common factors except 1. So, there LCM is their product i.e 203808

Least Common Multiple of 352,579 with GCF Formula

Least Common Multiple of 352,579 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 352,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,579) = 1

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

GCF(352,579) x common factors =1 x 1 = 1

LCM(352,579) = ( 352 × 579 ) / 1

LCM(352,579) = 203808 / 1

LCM(352,579) = 203808


Lets's calculate GCF of 680,921

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203808/1

Therefore the LCM of Fractions 352/680,579/921 is 203808

Greatest Common Factor of 680,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,921 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 680,921 . The biggest common factor number is the GCF number.
So the greatest common factor 680,921 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 352/680, 579/921

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 352/680, 579/921?

Answer: LCM of Numerators as per given numbers 352/680, 579/921 is

LCM of Numerators i.e. for 352,579 is 203808

GCF of denominators i.e. for 680,921 is 1.

Thus, LCM of Fractions is 203808.Finally, LCM of Fractions for 352/680, 579/921 is 203808.