Least Common Multiple of 83/560, 46/546, 205/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/560, 46/546, 205/275 quickly i.e. 782690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/560, 46/546, 205/275 is 782690.

LCM(83/560, 46/546, 205/275) = 782690

LCM of 83/560, 46/546, 205/275

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 83/560,46/546,205/275

Given numbers are 83/560,46/546,205/275

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 83,46,205

Least Common Multiple of Numerators i.e. LCM of 83,46,205 is 782690.

GCF of Denominators means GCF of 560,546,275 as per the given fractions.

GCF of 560,546,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,46,205

LCM of Fractions 83/560,46/546,205/275 is 782690

Given numbers has no common factors except 1. So, there LCM is their product i.e 782690

Least Common Multiple of 83,46,205 with GCF Formula

Least Common Multiple of 83,46,205 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 83,46,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,46,205) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,46,205) x common factors =1 x 1 = 1

LCM(83,46,205) = ( 83 × 46 × 205 ) / 1

LCM(83,46,205) = 782690 / 1

LCM(83,46,205) = 782690


Lets's calculate GCF of 560,546,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 782690/1

Therefore the LCM of Fractions 83/560,46/546,205/275 is 782690

Greatest Common Factor of 560,546,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,546,275 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 560,546,275 . The biggest common factor number is the GCF number.
So the greatest common factor 560,546,275 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 83/560, 46/546, 205/275

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 83/560, 46/546, 205/275?

Answer: LCM of Numerators as per given numbers 83/560, 46/546, 205/275 is

LCM of Numerators i.e. for 83,46,205 is 782690

GCF of denominators i.e. for 560,546,275 is 1.

Thus, LCM of Fractions is 782690.Finally, LCM of Fractions for 83/560, 46/546, 205/275 is 782690.