Least Common Multiple of 83/830, 21/634, 360/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/830, 21/634, 360/633 quickly i.e. 209160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/830, 21/634, 360/633 is 209160.

LCM(83/830, 21/634, 360/633) = 209160

LCM of 83/830, 21/634, 360/633

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 83/830,21/634,360/633

Given numbers are 83/830,21/634,360/633

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 83,21,360

Least Common Multiple of Numerators i.e. LCM of 83,21,360 is 209160.

GCF of Denominators means GCF of 830,634,633 as per the given fractions.

GCF of 830,634,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,21,360

LCM of Fractions 83/830,21/634,360/633 is 209160

3 83, 21, 360
83, 7, 120

∴ So the LCM of the given numbers is 3 x 83 x 7 x 120 = 209160

Least Common Multiple of 83,21,360 with GCF Formula

Least Common Multiple of 83,21,360 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 83,21,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,21,360) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,21,360) x common factors =1 x 3 = 3

LCM(83,21,360) = ( 83 × 21 × 360 ) / 3

LCM(83,21,360) = 627480 / 3

LCM(83,21,360) = 209160


Lets's calculate GCF of 830,634,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209160/1

Therefore the LCM of Fractions 83/830,21/634,360/633 is 209160

Greatest Common Factor of 830,634,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,634,633 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 830,634,633 . The biggest common factor number is the GCF number.
So the greatest common factor 830,634,633 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 83/830, 21/634, 360/633

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 83/830, 21/634, 360/633?

Answer: LCM of Numerators as per given numbers 83/830, 21/634, 360/633 is

LCM of Numerators i.e. for 83,21,360 is 209160

GCF of denominators i.e. for 830,634,633 is 1.

Thus, LCM of Fractions is 209160.Finally, LCM of Fractions for 83/830, 21/634, 360/633 is 209160.