Least Common Multiple of 168/10, 785/60, 823/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/10, 785/60, 823/880 quickly i.e. 10853724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/10, 785/60, 823/880 is 10853724.

LCM(168/10, 785/60, 823/880) = 10853724

LCM of 168/10, 785/60, 823/880

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 168/10,785/60,823/880

Given numbers are 168/10,785/60,823/880

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 168,785,823

Least Common Multiple of Numerators i.e. LCM of 168,785,823 is 108537240.

GCF of Denominators means GCF of 10,60,880 as per the given fractions.

GCF of 10,60,880 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,785,823

LCM of Fractions 168/10,785/60,823/880 is 10853724

Given numbers has no common factors except 1. So, there LCM is their product i.e 108537240

Least Common Multiple of 168,785,823 with GCF Formula

Least Common Multiple of 168,785,823 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 168,785,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,785,823) = 1

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

GCF(168,785,823) x common factors =1 x 1 = 1

LCM(168,785,823) = ( 168 × 785 × 823 ) / 1

LCM(168,785,823) = 108537240 / 1

LCM(168,785,823) = 108537240


Lets's calculate GCF of 10,60,880

2 10, 60, 880
5 5, 30, 440
1, 6, 88

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108537240/10

Therefore the LCM of Fractions 168/10,785/60,823/880 is 10853724

Greatest Common Factor of 10,60,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,60,880 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 10,60,880 . The biggest common factor number is the GCF number.
So the greatest common factor 10,60,880 is 10.


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 168/10, 785/60, 823/880

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 168/10, 785/60, 823/880?

Answer: LCM of Numerators as per given numbers 168/10, 785/60, 823/880 is

LCM of Numerators i.e. for 168,785,823 is 108537240

GCF of denominators i.e. for 10,60,880 is 10.

Thus, LCM of Fractions is 10853724.Finally, LCM of Fractions for 168/10, 785/60, 823/880 is 10853724.