Least Common Multiple of 69/291, 62/231, 836/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/291, 62/231, 836/105 quickly i.e. 596068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/291, 62/231, 836/105 is 596068.

LCM(69/291, 62/231, 836/105) = 596068

LCM of 69/291, 62/231, 836/105

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 69/291,62/231,836/105

Given numbers are 69/291,62/231,836/105

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 69,62,836

Least Common Multiple of Numerators i.e. LCM of 69,62,836 is 1788204.

GCF of Denominators means GCF of 291,231,105 as per the given fractions.

GCF of 291,231,105 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,62,836

LCM of Fractions 69/291,62/231,836/105 is 596068

2 69, 62, 836
69, 31, 418

∴ So the LCM of the given numbers is 2 x 69 x 31 x 418 = 1788204

Least Common Multiple of 69,62,836 with GCF Formula

Least Common Multiple of 69,62,836 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 69,62,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,62,836) = 1

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

GCF(69,62,836) x common factors =1 x 2 = 2

LCM(69,62,836) = ( 69 × 62 × 836 ) / 2

LCM(69,62,836) = 3576408 / 2

LCM(69,62,836) = 1788204


Lets's calculate GCF of 291,231,105

3 291, 231, 105
97, 77, 35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1788204/3

Therefore the LCM of Fractions 69/291,62/231,836/105 is 596068

Greatest Common Factor of 291,231,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,231,105 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 291,231,105 . The biggest common factor number is the GCF number.
So the greatest common factor 291,231,105 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 69/291, 62/231, 836/105

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 69/291, 62/231, 836/105?

Answer: LCM of Numerators as per given numbers 69/291, 62/231, 836/105 is

LCM of Numerators i.e. for 69,62,836 is 1788204

GCF of denominators i.e. for 291,231,105 is 3.

Thus, LCM of Fractions is 596068.Finally, LCM of Fractions for 69/291, 62/231, 836/105 is 596068.