Least Common Multiple of 69/312, 110/302, 636/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/312, 110/302, 636/833 quickly i.e. 804540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/312, 110/302, 636/833 is 804540.

LCM(69/312, 110/302, 636/833) = 804540

LCM of 69/312, 110/302, 636/833

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 69/312,110/302,636/833

Given numbers are 69/312,110/302,636/833

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 69,110,636

Least Common Multiple of Numerators i.e. LCM of 69,110,636 is 804540.

GCF of Denominators means GCF of 312,302,833 as per the given fractions.

GCF of 312,302,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,110,636

LCM of Fractions 69/312,110/302,636/833 is 804540

2 69, 110, 636
3 69, 55, 318
23, 55, 106

∴ So the LCM of the given numbers is 2 x 3 x 23 x 55 x 106 = 804540

Least Common Multiple of 69,110,636 with GCF Formula

Least Common Multiple of 69,110,636 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 69,110,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,110,636) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(69,110,636) x common factors =1 x 6 = 6

LCM(69,110,636) = ( 69 × 110 × 636 ) / 6

LCM(69,110,636) = 4827240 / 6

LCM(69,110,636) = 804540


Lets's calculate GCF of 312,302,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804540/1

Therefore the LCM of Fractions 69/312,110/302,636/833 is 804540

Greatest Common Factor of 312,302,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,302,833 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 312,302,833 . The biggest common factor number is the GCF number.
So the greatest common factor 312,302,833 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 69/312, 110/302, 636/833

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 69/312, 110/302, 636/833?

Answer: LCM of Numerators as per given numbers 69/312, 110/302, 636/833 is

LCM of Numerators i.e. for 69,110,636 is 804540

GCF of denominators i.e. for 312,302,833 is 1.

Thus, LCM of Fractions is 804540.Finally, LCM of Fractions for 69/312, 110/302, 636/833 is 804540.