Least Common Multiple of 23/207, 62/786, 234/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/207, 62/786, 234/546 quickly i.e. 55614 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/207, 62/786, 234/546 is 55614.

LCM(23/207, 62/786, 234/546) = 55614

LCM of 23/207, 62/786, 234/546

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 23/207,62/786,234/546

Given numbers are 23/207,62/786,234/546

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 23,62,234

Least Common Multiple of Numerators i.e. LCM of 23,62,234 is 166842.

GCF of Denominators means GCF of 207,786,546 as per the given fractions.

GCF of 207,786,546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,62,234

LCM of Fractions 23/207,62/786,234/546 is 55614

2 23, 62, 234
23, 31, 117

∴ So the LCM of the given numbers is 2 x 23 x 31 x 117 = 166842

Least Common Multiple of 23,62,234 with GCF Formula

Least Common Multiple of 23,62,234 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 23,62,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,62,234) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,62,234) x common factors =1 x 2 = 2

LCM(23,62,234) = ( 23 × 62 × 234 ) / 2

LCM(23,62,234) = 333684 / 2

LCM(23,62,234) = 166842


Lets's calculate GCF of 207,786,546

3 207, 786, 546
69, 262, 182

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166842/3

Therefore the LCM of Fractions 23/207,62/786,234/546 is 55614

Greatest Common Factor of 207,786,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,786,546 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 207,786,546 . The biggest common factor number is the GCF number.
So the greatest common factor 207,786,546 is 3.


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 23/207, 62/786, 234/546

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 23/207, 62/786, 234/546?

Answer: LCM of Numerators as per given numbers 23/207, 62/786, 234/546 is

LCM of Numerators i.e. for 23,62,234 is 166842

GCF of denominators i.e. for 207,786,546 is 3.

Thus, LCM of Fractions is 55614.Finally, LCM of Fractions for 23/207, 62/786, 234/546 is 55614.