Least Common Multiple of 55/860, 209/289, 836/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/860, 209/289, 836/468 quickly i.e. 4180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/860, 209/289, 836/468 is 4180.

LCM(55/860, 209/289, 836/468) = 4180

LCM of 55/860, 209/289, 836/468

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 55/860,209/289,836/468

Given numbers are 55/860,209/289,836/468

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 55,209,836

Least Common Multiple of Numerators i.e. LCM of 55,209,836 is 4180.

GCF of Denominators means GCF of 860,289,468 as per the given fractions.

GCF of 860,289,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,209,836

LCM of Fractions 55/860,209/289,836/468 is 4180

11 55, 209, 836
19 5, 19, 76
5, 1, 4

∴ So the LCM of the given numbers is 11 x 19 x 5 x 1 x 4 = 4180

Least Common Multiple of 55,209,836 with GCF Formula

Least Common Multiple of 55,209,836 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 55,209,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,209,836) = 11

common factors(in case of two or more numbers have common factors) = 209

GCF(55,209,836) x common factors =11 x 209 = 2299

LCM(55,209,836) = ( 55 × 209 × 836 ) / 2299

LCM(55,209,836) = 9609820 / 2299

LCM(55,209,836) = 4180


Lets's calculate GCF of 860,289,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4180/1

Therefore the LCM of Fractions 55/860,209/289,836/468 is 4180

Greatest Common Factor of 860,289,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,289,468 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 860,289,468 . The biggest common factor number is the GCF number.
So the greatest common factor 860,289,468 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 55/860, 209/289, 836/468

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 55/860, 209/289, 836/468?

Answer: LCM of Numerators as per given numbers 55/860, 209/289, 836/468 is

LCM of Numerators i.e. for 55,209,836 is 4180

GCF of denominators i.e. for 860,289,468 is 1.

Thus, LCM of Fractions is 4180.Finally, LCM of Fractions for 55/860, 209/289, 836/468 is 4180.