Least Common Multiple of 180/924, 863/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/924, 863/693 quickly i.e. 155340/231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/924, 863/693 is 155340/231.

LCM(180/924, 863/693) = 155340/231

LCM of 180/924, 863/693

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 180/924,863/693

Given numbers are 180/924,863/693

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 180,863

Least Common Multiple of Numerators i.e. LCM of 180,863 is 155340.

GCF of Denominators means GCF of 924,693 as per the given fractions.

GCF of 924,693 is 231 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,863

LCM of Fractions 180/924,863/693 is 155340/231

Given numbers has no common factors except 1. So, there LCM is their product i.e 155340

Least Common Multiple of 180,863 with GCF Formula

Least Common Multiple of 180,863 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 180,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,863) = 1

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

GCF(180,863) x common factors =1 x 1 = 1

LCM(180,863) = ( 180 × 863 ) / 1

LCM(180,863) = 155340 / 1

LCM(180,863) = 155340


Lets's calculate GCF of 924,693

3 924, 693
7 308, 231
11 44, 33
4, 3

∴ So the GCF of the given numbers is 3 x 7 x 11 = 231

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155340/231

Therefore the LCM of Fractions 180/924,863/693 is 155340/231

Greatest Common Factor of 924,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,693 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 924,693 . The biggest common factor number is the GCF number.
So the greatest common factor 924,693 is 231.


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 180/924, 863/693

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 180/924, 863/693?

Answer: LCM of Numerators as per given numbers 180/924, 863/693 is

LCM of Numerators i.e. for 180,863 is 155340

GCF of denominators i.e. for 924,693 is 231.

Thus, LCM of Fractions is 155340/231.Finally, LCM of Fractions for 180/924, 863/693 is 155340/231.