Least Common Multiple of 680/55, 669/86, 495/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/55, 669/86, 495/226 quickly i.e. 15012360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/55, 669/86, 495/226 is 15012360.

LCM(680/55, 669/86, 495/226) = 15012360

LCM of 680/55, 669/86, 495/226

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 680/55,669/86,495/226

Given numbers are 680/55,669/86,495/226

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 680,669,495

Least Common Multiple of Numerators i.e. LCM of 680,669,495 is 15012360.

GCF of Denominators means GCF of 55,86,226 as per the given fractions.

GCF of 55,86,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,669,495

LCM of Fractions 680/55,669/86,495/226 is 15012360

3 680, 669, 495
5 680, 223, 165
136, 223, 33

∴ So the LCM of the given numbers is 3 x 5 x 136 x 223 x 33 = 15012360

Least Common Multiple of 680,669,495 with GCF Formula

Least Common Multiple of 680,669,495 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 680,669,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,669,495) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(680,669,495) x common factors =1 x 15 = 15

LCM(680,669,495) = ( 680 × 669 × 495 ) / 15

LCM(680,669,495) = 225185400 / 15

LCM(680,669,495) = 15012360


Lets's calculate GCF of 55,86,226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15012360/1

Therefore the LCM of Fractions 680/55,669/86,495/226 is 15012360

Greatest Common Factor of 55,86,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,86,226 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 55,86,226 . The biggest common factor number is the GCF number.
So the greatest common factor 55,86,226 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 680/55, 669/86, 495/226

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 680/55, 669/86, 495/226?

Answer: LCM of Numerators as per given numbers 680/55, 669/86, 495/226 is

LCM of Numerators i.e. for 680,669,495 is 15012360

GCF of denominators i.e. for 55,86,226 is 1.

Thus, LCM of Fractions is 15012360.Finally, LCM of Fractions for 680/55, 669/86, 495/226 is 15012360.