Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/70, 39/46, 62/22, 88/742 quickly i.e. 5053620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/70, 39/46, 62/22, 88/742 is 5053620.
LCM(95/70, 39/46, 62/22, 88/742) = 5053620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/70,39/46,62/22,88/742
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 95,39,62,88
Least Common Multiple of Numerators i.e. LCM of 95,39,62,88 is 10107240.
GCF of Denominators means GCF of 70,46,22,742 as per the given fractions.
GCF of 70,46,22,742 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,39,62,88
2 | 95, 39, 62, 88 |
95, 39, 31, 44 |
∴ So the LCM of the given numbers is 2 x 95 x 39 x 31 x 44 = 10107240
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 95,39,62,88 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,39,62,88) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,39,62,88) x common factors =1 x 2 = 2
LCM(95,39,62,88) = ( 95 × 39 × 62 × 88 ) / 2
LCM(95,39,62,88) = 20214480 / 2
LCM(95,39,62,88) = 10107240
Lets's calculate GCF of 70,46,22,742
2 | 70, 46, 22, 742 |
35, 23, 11, 371 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10107240/2
Therefore the LCM of Fractions 95/70,39/46,62/22,88/742 is 5053620
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 70,46,22,742 . The biggest common factor number is the GCF number.
So the greatest common factor 70,46,22,742 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 95/70, 39/46, 62/22, 88/742?
Answer: LCM of Numerators as per given numbers 95/70, 39/46, 62/22, 88/742 is
LCM of Numerators i.e. for 95,39,62,88 is 10107240
GCF of denominators i.e. for 70,46,22,742 is 2.
Thus, LCM of Fractions is 5053620.Finally, LCM of Fractions for 95/70, 39/46, 62/22, 88/742 is 5053620.