Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 835/774, 520/126 quickly i.e. 86840/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 835/774, 520/126 is 86840/18.
LCM(835/774, 520/126) = 86840/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 835/774,520/126
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 835,520
Least Common Multiple of Numerators i.e. LCM of 835,520 is 86840.
GCF of Denominators means GCF of 774,126 as per the given fractions.
GCF of 774,126 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 835,520
5 | 835, 520 |
167, 104 |
∴ So the LCM of the given numbers is 5 x 167 x 104 = 86840
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 835,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,520) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,520) x common factors =5 x 1 = 5
LCM(835,520) = ( 835 × 520 ) / 5
LCM(835,520) = 434200 / 5
LCM(835,520) = 86840
Lets's calculate GCF of 774,126
2 | 774, 126 |
3 | 387, 63 |
3 | 129, 21 |
43, 7 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86840/18
Therefore the LCM of Fractions 835/774,520/126 is 86840/18
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 774,126 . The biggest common factor number is the GCF number.
So the greatest common factor 774,126 is 18.
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 835/774, 520/126?
Answer: LCM of Numerators as per given numbers 835/774, 520/126 is
LCM of Numerators i.e. for 835,520 is 86840
GCF of denominators i.e. for 774,126 is 18.
Thus, LCM of Fractions is 86840/18.Finally, LCM of Fractions for 835/774, 520/126 is 86840/18.