Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/34, 150/94, 934/410 quickly i.e. 910650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/34, 150/94, 934/410 is 910650.
LCM(52/34, 150/94, 934/410) = 910650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/34,150/94,934/410
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 52,150,934
Least Common Multiple of Numerators i.e. LCM of 52,150,934 is 1821300.
GCF of Denominators means GCF of 34,94,410 as per the given fractions.
GCF of 34,94,410 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,150,934
2 | 52, 150, 934 |
26, 75, 467 |
∴ So the LCM of the given numbers is 2 x 26 x 75 x 467 = 1821300
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 52,150,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,150,934) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(52,150,934) x common factors =2 x 2 = 4
LCM(52,150,934) = ( 52 × 150 × 934 ) / 4
LCM(52,150,934) = 7285200 / 4
LCM(52,150,934) = 1821300
Lets's calculate GCF of 34,94,410
2 | 34, 94, 410 |
17, 47, 205 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1821300/2
Therefore the LCM of Fractions 52/34,150/94,934/410 is 910650
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 34,94,410 . The biggest common factor number is the GCF number.
So the greatest common factor 34,94,410 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 52/34, 150/94, 934/410?
Answer: LCM of Numerators as per given numbers 52/34, 150/94, 934/410 is
LCM of Numerators i.e. for 52,150,934 is 1821300
GCF of denominators i.e. for 34,94,410 is 2.
Thus, LCM of Fractions is 910650.Finally, LCM of Fractions for 52/34, 150/94, 934/410 is 910650.