Least Common Multiple of 543/236, 699/102, 426/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/236, 699/102, 426/432 quickly i.e. 8982849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/236, 699/102, 426/432 is 8982849.

LCM(543/236, 699/102, 426/432) = 8982849

LCM of 543/236, 699/102, 426/432

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 543/236,699/102,426/432

Given numbers are 543/236,699/102,426/432

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 543,699,426

Least Common Multiple of Numerators i.e. LCM of 543,699,426 is 17965698.

GCF of Denominators means GCF of 236,102,432 as per the given fractions.

GCF of 236,102,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,699,426

LCM of Fractions 543/236,699/102,426/432 is 8982849

3 543, 699, 426
181, 233, 142

∴ So the LCM of the given numbers is 3 x 181 x 233 x 142 = 17965698

Least Common Multiple of 543,699,426 with GCF Formula

Least Common Multiple of 543,699,426 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 543,699,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,699,426) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(543,699,426) x common factors =3 x 3 = 9

LCM(543,699,426) = ( 543 × 699 × 426 ) / 9

LCM(543,699,426) = 161691282 / 9

LCM(543,699,426) = 17965698


Lets's calculate GCF of 236,102,432

2 236, 102, 432
118, 51, 216

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17965698/2

Therefore the LCM of Fractions 543/236,699/102,426/432 is 8982849

Greatest Common Factor of 236,102,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,102,432 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 236,102,432 . The biggest common factor number is the GCF number.
So the greatest common factor 236,102,432 is 2.


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 543/236, 699/102, 426/432

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 543/236, 699/102, 426/432?

Answer: LCM of Numerators as per given numbers 543/236, 699/102, 426/432 is

LCM of Numerators i.e. for 543,699,426 is 17965698

GCF of denominators i.e. for 236,102,432 is 2.

Thus, LCM of Fractions is 8982849.Finally, LCM of Fractions for 543/236, 699/102, 426/432 is 8982849.