Least Common Multiple of 210/69, 234/85, 567/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/69, 234/85, 567/727 quickly i.e. 73710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/69, 234/85, 567/727 is 73710.

LCM(210/69, 234/85, 567/727) = 73710

LCM of 210/69, 234/85, 567/727

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 210/69,234/85,567/727

Given numbers are 210/69,234/85,567/727

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 210,234,567

Least Common Multiple of Numerators i.e. LCM of 210,234,567 is 73710.

GCF of Denominators means GCF of 69,85,727 as per the given fractions.

GCF of 69,85,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,234,567

LCM of Fractions 210/69,234/85,567/727 is 73710

2 210, 234, 567
3 105, 117, 567
3 35, 39, 189
7 35, 13, 63
5, 13, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 5 x 13 x 9 = 73710

Least Common Multiple of 210,234,567 with GCF Formula

Least Common Multiple of 210,234,567 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 210,234,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,234,567) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(210,234,567) x common factors =3 x 126 = 378

LCM(210,234,567) = ( 210 × 234 × 567 ) / 378

LCM(210,234,567) = 27862380 / 378

LCM(210,234,567) = 73710


Lets's calculate GCF of 69,85,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73710/1

Therefore the LCM of Fractions 210/69,234/85,567/727 is 73710

Greatest Common Factor of 69,85,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,85,727 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 69,85,727 . The biggest common factor number is the GCF number.
So the greatest common factor 69,85,727 is 1.


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 210/69, 234/85, 567/727

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 210/69, 234/85, 567/727?

Answer: LCM of Numerators as per given numbers 210/69, 234/85, 567/727 is

LCM of Numerators i.e. for 210,234,567 is 73710

GCF of denominators i.e. for 69,85,727 is 1.

Thus, LCM of Fractions is 73710.Finally, LCM of Fractions for 210/69, 234/85, 567/727 is 73710.