Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/63, 70/598, 660/302 quickly i.e. 143220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/63, 70/598, 660/302 is 143220.
LCM(62/63, 70/598, 660/302) = 143220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/63,70/598,660/302
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 62,70,660
Least Common Multiple of Numerators i.e. LCM of 62,70,660 is 143220.
GCF of Denominators means GCF of 63,598,302 as per the given fractions.
GCF of 63,598,302 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,70,660
2 | 62, 70, 660 |
5 | 31, 35, 330 |
31, 7, 66 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 7 x 66 = 143220
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 62,70,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,70,660) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(62,70,660) x common factors =2 x 10 = 20
LCM(62,70,660) = ( 62 × 70 × 660 ) / 20
LCM(62,70,660) = 2864400 / 20
LCM(62,70,660) = 143220
Lets's calculate GCF of 63,598,302
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143220/1
Therefore the LCM of Fractions 62/63,70/598,660/302 is 143220
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 63,598,302 . The biggest common factor number is the GCF number.
So the greatest common factor 63,598,302 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 62/63, 70/598, 660/302?
Answer: LCM of Numerators as per given numbers 62/63, 70/598, 660/302 is
LCM of Numerators i.e. for 62,70,660 is 143220
GCF of denominators i.e. for 63,598,302 is 1.
Thus, LCM of Fractions is 143220.Finally, LCM of Fractions for 62/63, 70/598, 660/302 is 143220.