Least Common Multiple of 69/234, 92/636, 358/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/234, 92/636, 358/690 quickly i.e. 8234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/234, 92/636, 358/690 is 8234.

LCM(69/234, 92/636, 358/690) = 8234

LCM of 69/234, 92/636, 358/690

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 69/234,92/636,358/690

Given numbers are 69/234,92/636,358/690

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 69,92,358

Least Common Multiple of Numerators i.e. LCM of 69,92,358 is 49404.

GCF of Denominators means GCF of 234,636,690 as per the given fractions.

GCF of 234,636,690 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,92,358

LCM of Fractions 69/234,92/636,358/690 is 8234

2 69, 92, 358
23 69, 46, 179
3, 2, 179

∴ So the LCM of the given numbers is 2 x 23 x 3 x 2 x 179 = 49404

Least Common Multiple of 69,92,358 with GCF Formula

Least Common Multiple of 69,92,358 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 69,92,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,92,358) = 1

common factors(in case of two or more numbers have common factors) = 46

GCF(69,92,358) x common factors =1 x 46 = 46

LCM(69,92,358) = ( 69 × 92 × 358 ) / 46

LCM(69,92,358) = 2272584 / 46

LCM(69,92,358) = 49404


Lets's calculate GCF of 234,636,690

2 234, 636, 690
3 117, 318, 345
39, 106, 115

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49404/6

Therefore the LCM of Fractions 69/234,92/636,358/690 is 8234

Greatest Common Factor of 234,636,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,636,690 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 234,636,690 . The biggest common factor number is the GCF number.
So the greatest common factor 234,636,690 is 6.


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 69/234, 92/636, 358/690

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 69/234, 92/636, 358/690?

Answer: LCM of Numerators as per given numbers 69/234, 92/636, 358/690 is

LCM of Numerators i.e. for 69,92,358 is 49404

GCF of denominators i.e. for 234,636,690 is 6.

Thus, LCM of Fractions is 8234.Finally, LCM of Fractions for 69/234, 92/636, 358/690 is 8234.