Least Common Multiple of 196/900, 823/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/900, 823/210 quickly i.e. 161308/30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/900, 823/210 is 161308/30.

LCM(196/900, 823/210) = 161308/30

LCM of 196/900, 823/210

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 196/900,823/210

Given numbers are 196/900,823/210

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 196,823

Least Common Multiple of Numerators i.e. LCM of 196,823 is 161308.

GCF of Denominators means GCF of 900,210 as per the given fractions.

GCF of 900,210 is 30 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,823

LCM of Fractions 196/900,823/210 is 161308/30

Given numbers has no common factors except 1. So, there LCM is their product i.e 161308

Least Common Multiple of 196,823 with GCF Formula

Least Common Multiple of 196,823 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 196,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,823) = 1

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

GCF(196,823) x common factors =1 x 1 = 1

LCM(196,823) = ( 196 × 823 ) / 1

LCM(196,823) = 161308 / 1

LCM(196,823) = 161308


Lets's calculate GCF of 900,210

2 900, 210
3 450, 105
5 150, 35
30, 7

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161308/30

Therefore the LCM of Fractions 196/900,823/210 is 161308/30

Greatest Common Factor of 900,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,210 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 900,210 . The biggest common factor number is the GCF number.
So the greatest common factor 900,210 is 30.


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 196/900, 823/210

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 196/900, 823/210?

Answer: LCM of Numerators as per given numbers 196/900, 823/210 is

LCM of Numerators i.e. for 196,823 is 161308

GCF of denominators i.e. for 900,210 is 30.

Thus, LCM of Fractions is 161308/30.Finally, LCM of Fractions for 196/900, 823/210 is 161308/30.