Least Common Multiple of 69/708, 51/909, 280/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/708, 51/909, 280/213 quickly i.e. 109480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/708, 51/909, 280/213 is 109480.

LCM(69/708, 51/909, 280/213) = 109480

LCM of 69/708, 51/909, 280/213

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 69/708,51/909,280/213

Given numbers are 69/708,51/909,280/213

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 69,51,280

Least Common Multiple of Numerators i.e. LCM of 69,51,280 is 328440.

GCF of Denominators means GCF of 708,909,213 as per the given fractions.

GCF of 708,909,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,51,280

LCM of Fractions 69/708,51/909,280/213 is 109480

3 69, 51, 280
23, 17, 280

∴ So the LCM of the given numbers is 3 x 23 x 17 x 280 = 328440

Least Common Multiple of 69,51,280 with GCF Formula

Least Common Multiple of 69,51,280 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 69,51,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,51,280) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,51,280) x common factors =1 x 3 = 3

LCM(69,51,280) = ( 69 × 51 × 280 ) / 3

LCM(69,51,280) = 985320 / 3

LCM(69,51,280) = 328440


Lets's calculate GCF of 708,909,213

3 708, 909, 213
236, 303, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328440/3

Therefore the LCM of Fractions 69/708,51/909,280/213 is 109480

Greatest Common Factor of 708,909,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,909,213 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 708,909,213 . The biggest common factor number is the GCF number.
So the greatest common factor 708,909,213 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 69/708, 51/909, 280/213

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 69/708, 51/909, 280/213?

Answer: LCM of Numerators as per given numbers 69/708, 51/909, 280/213 is

LCM of Numerators i.e. for 69,51,280 is 328440

GCF of denominators i.e. for 708,909,213 is 3.

Thus, LCM of Fractions is 109480.Finally, LCM of Fractions for 69/708, 51/909, 280/213 is 109480.