Least Common Multiple of 488/221, 716/154
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 488/221, 716/154 quickly i.e. 87352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 488/221, 716/154 is 87352.
LCM(488/221, 716/154) = 87352
LCM of 488/221, 716/154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 488/221,716/154
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 488,716
Least Common Multiple of Numerators i.e. LCM of 488,716 is 87352.
GCF of Denominators means GCF of 221,154 as per the given fractions.
GCF of 221,154 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 488,716
LCM of Fractions 488/221,716/154 is 87352
| 2 | 488, 716 |
| 2 | 244, 358 |
| 122, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 179 = 87352
Least Common Multiple of 488,716 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 488,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,716) x common factors =4 x 1 = 4
LCM(488,716) = ( 488 × 716 ) / 4
LCM(488,716) = 349408 / 4
LCM(488,716) = 87352
Lets's calculate GCF of 221,154
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87352/1
Therefore the LCM of Fractions 488/221,716/154 is 87352