Least Common Multiple of 835/84, 282/78, 702/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 835/84, 282/78, 702/885 quickly i.e. 9183330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 835/84, 282/78, 702/885 is 9183330.

LCM(835/84, 282/78, 702/885) = 9183330

LCM of 835/84, 282/78, 702/885

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 835/84,282/78,702/885

Given numbers are 835/84,282/78,702/885

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 835,282,702

Least Common Multiple of Numerators i.e. LCM of 835,282,702 is 27549990.

GCF of Denominators means GCF of 84,78,885 as per the given fractions.

GCF of 84,78,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 835,282,702

LCM of Fractions 835/84,282/78,702/885 is 9183330

2 835, 282, 702
3 835, 141, 351
835, 47, 117

∴ So the LCM of the given numbers is 2 x 3 x 835 x 47 x 117 = 27549990

Least Common Multiple of 835,282,702 with GCF Formula

Least Common Multiple of 835,282,702 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 835,282,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,282,702) = 1

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

GCF(835,282,702) x common factors =1 x 6 = 6

LCM(835,282,702) = ( 835 × 282 × 702 ) / 6

LCM(835,282,702) = 165299940 / 6

LCM(835,282,702) = 27549990


Lets's calculate GCF of 84,78,885

3 84, 78, 885
28, 26, 295

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27549990/3

Therefore the LCM of Fractions 835/84,282/78,702/885 is 9183330

Greatest Common Factor of 84,78,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,78,885 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 84,78,885 . The biggest common factor number is the GCF number.
So the greatest common factor 84,78,885 is 3.


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 835/84, 282/78, 702/885

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 835/84, 282/78, 702/885?

Answer: LCM of Numerators as per given numbers 835/84, 282/78, 702/885 is

LCM of Numerators i.e. for 835,282,702 is 27549990

GCF of denominators i.e. for 84,78,885 is 3.

Thus, LCM of Fractions is 9183330.Finally, LCM of Fractions for 835/84, 282/78, 702/885 is 9183330.