Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/702, 9622/4576 quickly i.e. 336770/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/702, 9622/4576 is 336770/26.
LCM(70/702, 9622/4576) = 336770/26
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/702,9622/4576
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 70,9622
Least Common Multiple of Numerators i.e. LCM of 70,9622 is 336770.
GCF of Denominators means GCF of 702,4576 as per the given fractions.
GCF of 702,4576 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,9622
2 | 70, 9622 |
35, 4811 |
∴ So the LCM of the given numbers is 2 x 35 x 4811 = 336770
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 70,9622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,9622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(70,9622) x common factors =2 x 1 = 2
LCM(70,9622) = ( 70 × 9622 ) / 2
LCM(70,9622) = 673540 / 2
LCM(70,9622) = 336770
Lets's calculate GCF of 702,4576
2 | 702, 4576 |
13 | 351, 2288 |
27, 176 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336770/26
Therefore the LCM of Fractions 70/702,9622/4576 is 336770/26
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
Factors of 4576
List of positive integer factors of 4576 that divides 4576 without a remainder.
1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576
Greatest Common Factor
We found the factors 702,4576 . The biggest common factor number is the GCF number.
So the greatest common factor 702,4576 is 26.
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 70/702, 9622/4576?
Answer: LCM of Numerators as per given numbers 70/702, 9622/4576 is
LCM of Numerators i.e. for 70,9622 is 336770
GCF of denominators i.e. for 702,4576 is 26.
Thus, LCM of Fractions is 336770/26.Finally, LCM of Fractions for 70/702, 9622/4576 is 336770/26.