Least Common Multiple of 223/88, 820/8472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/88, 820/8472 quickly i.e. 182860/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/88, 820/8472 is 182860/8.

LCM(223/88, 820/8472) = 182860/8

LCM of 223/88, 820/8472

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 223/88,820/8472

Given numbers are 223/88,820/8472

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 223,820

Least Common Multiple of Numerators i.e. LCM of 223,820 is 182860.

GCF of Denominators means GCF of 88,8472 as per the given fractions.

GCF of 88,8472 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,820

LCM of Fractions 223/88,820/8472 is 182860/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 182860

Least Common Multiple of 223,820 with GCF Formula

Least Common Multiple of 223,820 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 223,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,820) = 1

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

GCF(223,820) x common factors =1 x 1 = 1

LCM(223,820) = ( 223 × 820 ) / 1

LCM(223,820) = 182860 / 1

LCM(223,820) = 182860


Lets's calculate GCF of 88,8472

2 88, 8472
2 44, 4236
2 22, 2118
11, 1059

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182860/8

Therefore the LCM of Fractions 223/88,820/8472 is 182860/8

Greatest Common Factor of 88,8472 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,8472 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1,2,3,4,6,8,12,24,353,706,1059,1412,2118,2824,4236,8472

Greatest Common Factor

We found the factors 88,8472 . The biggest common factor number is the GCF number.
So the greatest common factor 88,8472 is 8.


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 223/88, 820/8472

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 223/88, 820/8472?

Answer: LCM of Numerators as per given numbers 223/88, 820/8472 is

LCM of Numerators i.e. for 223,820 is 182860

GCF of denominators i.e. for 88,8472 is 8.

Thus, LCM of Fractions is 182860/8.Finally, LCM of Fractions for 223/88, 820/8472 is 182860/8.