Least Common Multiple of 69/718, 66/812, 506/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/718, 66/812, 506/832 quickly i.e. 759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/718, 66/812, 506/832 is 759.

LCM(69/718, 66/812, 506/832) = 759

LCM of 69/718, 66/812, 506/832

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 69/718,66/812,506/832

Given numbers are 69/718,66/812,506/832

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 69,66,506

Least Common Multiple of Numerators i.e. LCM of 69,66,506 is 1518.

GCF of Denominators means GCF of 718,812,832 as per the given fractions.

GCF of 718,812,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,66,506

LCM of Fractions 69/718,66/812,506/832 is 759

2 69, 66, 506
3 69, 33, 253
11 23, 11, 253
23 23, 1, 23
1, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 11 x 23 x 1 x 1 x 1 = 1518

Least Common Multiple of 69,66,506 with GCF Formula

Least Common Multiple of 69,66,506 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 69,66,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,66,506) = 1

common factors(in case of two or more numbers have common factors) = 1518

GCF(69,66,506) x common factors =1 x 1518 = 1518

LCM(69,66,506) = ( 69 × 66 × 506 ) / 1518

LCM(69,66,506) = 2304324 / 1518

LCM(69,66,506) = 1518


Lets's calculate GCF of 718,812,832

2 718, 812, 832
359, 406, 416

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1518/2

Therefore the LCM of Fractions 69/718,66/812,506/832 is 759

Greatest Common Factor of 718,812,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,812,832 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 718,812,832 . The biggest common factor number is the GCF number.
So the greatest common factor 718,812,832 is 2.


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 69/718, 66/812, 506/832

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 69/718, 66/812, 506/832?

Answer: LCM of Numerators as per given numbers 69/718, 66/812, 506/832 is

LCM of Numerators i.e. for 69,66,506 is 1518

GCF of denominators i.e. for 718,812,832 is 2.

Thus, LCM of Fractions is 759.Finally, LCM of Fractions for 69/718, 66/812, 506/832 is 759.