Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 930/156, 1741/5668 quickly i.e. 1619130/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 930/156, 1741/5668 is 1619130/52.
LCM(930/156, 1741/5668) = 1619130/52
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 930/156,1741/5668
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 930,1741
Least Common Multiple of Numerators i.e. LCM of 930,1741 is 1619130.
GCF of Denominators means GCF of 156,5668 as per the given fractions.
GCF of 156,5668 is 52 as it is the largest common factor for these numbers.
Lets's calculate LCM of 930,1741
Given numbers has no common factors except 1. So, there LCM is their product i.e 1619130
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 930,1741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,1741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(930,1741) x common factors =1 x 1 = 1
LCM(930,1741) = ( 930 × 1741 ) / 1
LCM(930,1741) = 1619130 / 1
LCM(930,1741) = 1619130
Lets's calculate GCF of 156,5668
2 | 156, 5668 |
2 | 78, 2834 |
13 | 39, 1417 |
3, 109 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1619130/52
Therefore the LCM of Fractions 930/156,1741/5668 is 1619130/52
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 5668
List of positive integer factors of 5668 that divides 5668 without a remainder.
1,2,4,13,26,52,109,218,436,1417,2834,5668
Greatest Common Factor
We found the factors 156,5668 . The biggest common factor number is the GCF number.
So the greatest common factor 156,5668 is 52.
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 930/156, 1741/5668?
Answer: LCM of Numerators as per given numbers 930/156, 1741/5668 is
LCM of Numerators i.e. for 930,1741 is 1619130
GCF of denominators i.e. for 156,5668 is 52.
Thus, LCM of Fractions is 1619130/52.Finally, LCM of Fractions for 930/156, 1741/5668 is 1619130/52.