Least Common Multiple of 83/28, 90/10, 990/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/28, 90/10, 990/946 quickly i.e. 41085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/28, 90/10, 990/946 is 41085.

LCM(83/28, 90/10, 990/946) = 41085

LCM of 83/28, 90/10, 990/946

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 83/28,90/10,990/946

Given numbers are 83/28,90/10,990/946

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 83,90,990

Least Common Multiple of Numerators i.e. LCM of 83,90,990 is 82170.

GCF of Denominators means GCF of 28,10,946 as per the given fractions.

GCF of 28,10,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,90,990

LCM of Fractions 83/28,90/10,990/946 is 41085

2 83, 90, 990
3 83, 45, 495
3 83, 15, 165
5 83, 5, 55
83, 1, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 83 x 1 x 11 = 82170

Least Common Multiple of 83,90,990 with GCF Formula

Least Common Multiple of 83,90,990 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 83,90,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,90,990) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(83,90,990) x common factors =1 x 90 = 90

LCM(83,90,990) = ( 83 × 90 × 990 ) / 90

LCM(83,90,990) = 7395300 / 90

LCM(83,90,990) = 82170


Lets's calculate GCF of 28,10,946

2 28, 10, 946
14, 5, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82170/2

Therefore the LCM of Fractions 83/28,90/10,990/946 is 41085

Greatest Common Factor of 28,10,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,10,946 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 28,10,946 . The biggest common factor number is the GCF number.
So the greatest common factor 28,10,946 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 83/28, 90/10, 990/946

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 83/28, 90/10, 990/946?

Answer: LCM of Numerators as per given numbers 83/28, 90/10, 990/946 is

LCM of Numerators i.e. for 83,90,990 is 82170

GCF of denominators i.e. for 28,10,946 is 2.

Thus, LCM of Fractions is 41085.Finally, LCM of Fractions for 83/28, 90/10, 990/946 is 41085.