Least Common Multiple of 11/84, 798/46, 120/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/84, 798/46, 120/890 quickly i.e. 87780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/84, 798/46, 120/890 is 87780.

LCM(11/84, 798/46, 120/890) = 87780

LCM of 11/84, 798/46, 120/890

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 11/84,798/46,120/890

Given numbers are 11/84,798/46,120/890

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 11,798,120

Least Common Multiple of Numerators i.e. LCM of 11,798,120 is 175560.

GCF of Denominators means GCF of 84,46,890 as per the given fractions.

GCF of 84,46,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,798,120

LCM of Fractions 11/84,798/46,120/890 is 87780

2 11, 798, 120
3 11, 399, 60
11, 133, 20

∴ So the LCM of the given numbers is 2 x 3 x 11 x 133 x 20 = 175560

Least Common Multiple of 11,798,120 with GCF Formula

Least Common Multiple of 11,798,120 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 11,798,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,798,120) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(11,798,120) x common factors =1 x 6 = 6

LCM(11,798,120) = ( 11 × 798 × 120 ) / 6

LCM(11,798,120) = 1053360 / 6

LCM(11,798,120) = 175560


Lets's calculate GCF of 84,46,890

2 84, 46, 890
42, 23, 445

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175560/2

Therefore the LCM of Fractions 11/84,798/46,120/890 is 87780

Greatest Common Factor of 84,46,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,46,890 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 84,46,890 . The biggest common factor number is the GCF number.
So the greatest common factor 84,46,890 is 2.


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 11/84, 798/46, 120/890

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 11/84, 798/46, 120/890?

Answer: LCM of Numerators as per given numbers 11/84, 798/46, 120/890 is

LCM of Numerators i.e. for 11,798,120 is 175560

GCF of denominators i.e. for 84,46,890 is 2.

Thus, LCM of Fractions is 87780.Finally, LCM of Fractions for 11/84, 798/46, 120/890 is 87780.