Least Common Multiple of 290/45, 466/60, 840/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/45, 466/60, 840/861 quickly i.e. 1891960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/45, 466/60, 840/861 is 1891960.

LCM(290/45, 466/60, 840/861) = 1891960

LCM of 290/45, 466/60, 840/861

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 290/45,466/60,840/861

Given numbers are 290/45,466/60,840/861

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 290,466,840

Least Common Multiple of Numerators i.e. LCM of 290,466,840 is 5675880.

GCF of Denominators means GCF of 45,60,861 as per the given fractions.

GCF of 45,60,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,466,840

LCM of Fractions 290/45,466/60,840/861 is 1891960

2 290, 466, 840
5 145, 233, 420
29, 233, 84

∴ So the LCM of the given numbers is 2 x 5 x 29 x 233 x 84 = 5675880

Least Common Multiple of 290,466,840 with GCF Formula

Least Common Multiple of 290,466,840 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 290,466,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,466,840) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(290,466,840) x common factors =2 x 10 = 20

LCM(290,466,840) = ( 290 × 466 × 840 ) / 20

LCM(290,466,840) = 113517600 / 20

LCM(290,466,840) = 5675880


Lets's calculate GCF of 45,60,861

3 45, 60, 861
15, 20, 287

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5675880/3

Therefore the LCM of Fractions 290/45,466/60,840/861 is 1891960

Greatest Common Factor of 45,60,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,60,861 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 45,60,861 . The biggest common factor number is the GCF number.
So the greatest common factor 45,60,861 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 290/45, 466/60, 840/861

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 290/45, 466/60, 840/861?

Answer: LCM of Numerators as per given numbers 290/45, 466/60, 840/861 is

LCM of Numerators i.e. for 290,466,840 is 5675880

GCF of denominators i.e. for 45,60,861 is 3.

Thus, LCM of Fractions is 1891960.Finally, LCM of Fractions for 290/45, 466/60, 840/861 is 1891960.