Least Common Multiple of 1854/517, 8023/4203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1854/517, 8023/4203 quickly i.e. 14874642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1854/517, 8023/4203 is 14874642.

LCM(1854/517, 8023/4203) = 14874642

LCM of 1854/517, 8023/4203

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 1854/517,8023/4203

Given numbers are 1854/517,8023/4203

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 1854,8023

Least Common Multiple of Numerators i.e. LCM of 1854,8023 is 14874642.

GCF of Denominators means GCF of 517,4203 as per the given fractions.

GCF of 517,4203 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1854,8023

LCM of Fractions 1854/517,8023/4203 is 14874642

Given numbers has no common factors except 1. So, there LCM is their product i.e 14874642

Least Common Multiple of 1854,8023 with GCF Formula

Least Common Multiple of 1854,8023 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 1854,8023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1854,8023) = 1

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

GCF(1854,8023) x common factors =1 x 1 = 1

LCM(1854,8023) = ( 1854 × 8023 ) / 1

LCM(1854,8023) = 14874642 / 1

LCM(1854,8023) = 14874642


Lets's calculate GCF of 517,4203

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14874642/1

Therefore the LCM of Fractions 1854/517,8023/4203 is 14874642

Greatest Common Factor of 517,4203 By Matching Biggest Common Factor Method

Greatest Common Factor of 517,4203 By Matching Biggest Common Factor Method

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 4203

List of positive integer factors of 4203 that divides 4203 without a remainder.

1,3,9,467,1401,4203

Greatest Common Factor

We found the factors 517,4203 . The biggest common factor number is the GCF number.
So the greatest common factor 517,4203 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1854/517, 8023/4203

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 1854/517, 8023/4203?

Answer: LCM of Numerators as per given numbers 1854/517, 8023/4203 is

LCM of Numerators i.e. for 1854,8023 is 14874642

GCF of denominators i.e. for 517,4203 is 1.

Thus, LCM of Fractions is 14874642.Finally, LCM of Fractions for 1854/517, 8023/4203 is 14874642.