Least Common Multiple of 1785/822, 4951/3240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1785/822, 4951/3240 quickly i.e. 8837535/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1785/822, 4951/3240 is 8837535/6.

LCM(1785/822, 4951/3240) = 8837535/6

LCM of 1785/822, 4951/3240

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 1785/822,4951/3240

Given numbers are 1785/822,4951/3240

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 1785,4951

Least Common Multiple of Numerators i.e. LCM of 1785,4951 is 8837535.

GCF of Denominators means GCF of 822,3240 as per the given fractions.

GCF of 822,3240 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1785,4951

LCM of Fractions 1785/822,4951/3240 is 8837535/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 8837535

Least Common Multiple of 1785,4951 with GCF Formula

Least Common Multiple of 1785,4951 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 1785,4951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1785,4951) = 1

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

GCF(1785,4951) x common factors =1 x 1 = 1

LCM(1785,4951) = ( 1785 × 4951 ) / 1

LCM(1785,4951) = 8837535 / 1

LCM(1785,4951) = 8837535


Lets's calculate GCF of 822,3240

2 822, 3240
3 411, 1620
137, 540

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8837535/6

Therefore the LCM of Fractions 1785/822,4951/3240 is 8837535/6

Greatest Common Factor of 822,3240 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,3240 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240

Greatest Common Factor

We found the factors 822,3240 . The biggest common factor number is the GCF number.
So the greatest common factor 822,3240 is 6.


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 1785/822, 4951/3240

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 1785/822, 4951/3240?

Answer: LCM of Numerators as per given numbers 1785/822, 4951/3240 is

LCM of Numerators i.e. for 1785,4951 is 8837535

GCF of denominators i.e. for 822,3240 is 6.

Thus, LCM of Fractions is 8837535/6.Finally, LCM of Fractions for 1785/822, 4951/3240 is 8837535/6.