Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1427/58, 8216/702 quickly i.e. 5862116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1427/58, 8216/702 is 5862116.
LCM(1427/58, 8216/702) = 5862116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1427/58,8216/702
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 1427,8216
Least Common Multiple of Numerators i.e. LCM of 1427,8216 is 11724232.
GCF of Denominators means GCF of 58,702 as per the given fractions.
GCF of 58,702 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1427,8216
Given numbers has no common factors except 1. So, there LCM is their product i.e 11724232
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 1427,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1427,8216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1427,8216) x common factors =1 x 1 = 1
LCM(1427,8216) = ( 1427 × 8216 ) / 1
LCM(1427,8216) = 11724232 / 1
LCM(1427,8216) = 11724232
Lets's calculate GCF of 58,702
2 | 58, 702 |
29, 351 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11724232/2
Therefore the LCM of Fractions 1427/58,8216/702 is 5862116
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 58,702 . The biggest common factor number is the GCF number.
So the greatest common factor 58,702 is 2.
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 1427/58, 8216/702?
Answer: LCM of Numerators as per given numbers 1427/58, 8216/702 is
LCM of Numerators i.e. for 1427,8216 is 11724232
GCF of denominators i.e. for 58,702 is 2.
Thus, LCM of Fractions is 5862116.Finally, LCM of Fractions for 1427/58, 8216/702 is 5862116.