Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/43, 35/30, 95/94, 83/617 quickly i.e. 110390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/43, 35/30, 95/94, 83/617 is 110390.
LCM(70/43, 35/30, 95/94, 83/617) = 110390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/43,35/30,95/94,83/617
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 70,35,95,83
Least Common Multiple of Numerators i.e. LCM of 70,35,95,83 is 110390.
GCF of Denominators means GCF of 43,30,94,617 as per the given fractions.
GCF of 43,30,94,617 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,35,95,83
5 | 70, 35, 95, 83 |
7 | 14, 7, 19, 83 |
2, 1, 19, 83 |
∴ So the LCM of the given numbers is 5 x 7 x 2 x 1 x 19 x 83 = 110390
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 70,35,95,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,35,95,83) = 1
common factors(in case of two or more numbers have common factors) = 175
GCF(70,35,95,83) x common factors =1 x 175 = 175
LCM(70,35,95,83) = ( 70 × 35 × 95 × 83 ) / 175
LCM(70,35,95,83) = 19318250 / 175
LCM(70,35,95,83) = 110390
Lets's calculate GCF of 43,30,94,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110390/1
Therefore the LCM of Fractions 70/43,35/30,95/94,83/617 is 110390
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 43,30,94,617 . The biggest common factor number is the GCF number.
So the greatest common factor 43,30,94,617 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 70/43, 35/30, 95/94, 83/617?
Answer: LCM of Numerators as per given numbers 70/43, 35/30, 95/94, 83/617 is
LCM of Numerators i.e. for 70,35,95,83 is 110390
GCF of denominators i.e. for 43,30,94,617 is 1.
Thus, LCM of Fractions is 110390.Finally, LCM of Fractions for 70/43, 35/30, 95/94, 83/617 is 110390.