Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 190/796, 417/890, 772/762 quickly i.e. 15291390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 190/796, 417/890, 772/762 is 15291390.
LCM(190/796, 417/890, 772/762) = 15291390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 190/796,417/890,772/762
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 190,417,772
Least Common Multiple of Numerators i.e. LCM of 190,417,772 is 30582780.
GCF of Denominators means GCF of 796,890,762 as per the given fractions.
GCF of 796,890,762 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 190,417,772
2 | 190, 417, 772 |
95, 417, 386 |
∴ So the LCM of the given numbers is 2 x 95 x 417 x 386 = 30582780
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 190,417,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,417,772) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(190,417,772) x common factors =1 x 2 = 2
LCM(190,417,772) = ( 190 × 417 × 772 ) / 2
LCM(190,417,772) = 61165560 / 2
LCM(190,417,772) = 30582780
Lets's calculate GCF of 796,890,762
2 | 796, 890, 762 |
398, 445, 381 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30582780/2
Therefore the LCM of Fractions 190/796,417/890,772/762 is 15291390
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 796,890,762 . The biggest common factor number is the GCF number.
So the greatest common factor 796,890,762 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 190/796, 417/890, 772/762?
Answer: LCM of Numerators as per given numbers 190/796, 417/890, 772/762 is
LCM of Numerators i.e. for 190,417,772 is 30582780
GCF of denominators i.e. for 796,890,762 is 2.
Thus, LCM of Fractions is 15291390.Finally, LCM of Fractions for 190/796, 417/890, 772/762 is 15291390.