Least Common Multiple of 1873/663, 5787/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1873/663, 5787/923 quickly i.e. 10839051/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1873/663, 5787/923 is 10839051/13.

LCM(1873/663, 5787/923) = 10839051/13

LCM of 1873/663, 5787/923

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 1873/663,5787/923

Given numbers are 1873/663,5787/923

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 1873,5787

Least Common Multiple of Numerators i.e. LCM of 1873,5787 is 10839051.

GCF of Denominators means GCF of 663,923 as per the given fractions.

GCF of 663,923 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1873,5787

LCM of Fractions 1873/663,5787/923 is 10839051/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 10839051

Least Common Multiple of 1873,5787 with GCF Formula

Least Common Multiple of 1873,5787 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 1873,5787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1873,5787) = 1

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

GCF(1873,5787) x common factors =1 x 1 = 1

LCM(1873,5787) = ( 1873 × 5787 ) / 1

LCM(1873,5787) = 10839051 / 1

LCM(1873,5787) = 10839051


Lets's calculate GCF of 663,923

13 663, 923
51, 71

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10839051/13

Therefore the LCM of Fractions 1873/663,5787/923 is 10839051/13

Greatest Common Factor of 663,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,923 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 663,923 . The biggest common factor number is the GCF number.
So the greatest common factor 663,923 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1873/663, 5787/923

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 1873/663, 5787/923?

Answer: LCM of Numerators as per given numbers 1873/663, 5787/923 is

LCM of Numerators i.e. for 1873,5787 is 10839051

GCF of denominators i.e. for 663,923 is 13.

Thus, LCM of Fractions is 10839051/13.Finally, LCM of Fractions for 1873/663, 5787/923 is 10839051/13.