Least Common Multiple of 802/90, 210/51, 990/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/90, 210/51, 990/414 quickly i.e. 926310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/90, 210/51, 990/414 is 926310.

LCM(802/90, 210/51, 990/414) = 926310

LCM of 802/90, 210/51, 990/414

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 802/90,210/51,990/414

Given numbers are 802/90,210/51,990/414

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 802,210,990

Least Common Multiple of Numerators i.e. LCM of 802,210,990 is 2778930.

GCF of Denominators means GCF of 90,51,414 as per the given fractions.

GCF of 90,51,414 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,210,990

LCM of Fractions 802/90,210/51,990/414 is 926310

2 802, 210, 990
3 401, 105, 495
5 401, 35, 165
401, 7, 33

∴ So the LCM of the given numbers is 2 x 3 x 5 x 401 x 7 x 33 = 2778930

Least Common Multiple of 802,210,990 with GCF Formula

Least Common Multiple of 802,210,990 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 802,210,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,210,990) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(802,210,990) x common factors =2 x 30 = 60

LCM(802,210,990) = ( 802 × 210 × 990 ) / 60

LCM(802,210,990) = 166735800 / 60

LCM(802,210,990) = 2778930


Lets's calculate GCF of 90,51,414

3 90, 51, 414
30, 17, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2778930/3

Therefore the LCM of Fractions 802/90,210/51,990/414 is 926310

Greatest Common Factor of 90,51,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,51,414 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 90,51,414 . The biggest common factor number is the GCF number.
So the greatest common factor 90,51,414 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 802/90, 210/51, 990/414

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 802/90, 210/51, 990/414?

Answer: LCM of Numerators as per given numbers 802/90, 210/51, 990/414 is

LCM of Numerators i.e. for 802,210,990 is 2778930

GCF of denominators i.e. for 90,51,414 is 3.

Thus, LCM of Fractions is 926310.Finally, LCM of Fractions for 802/90, 210/51, 990/414 is 926310.