Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 811/786, 4634/702 quickly i.e. 3758174/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 811/786, 4634/702 is 3758174/6.
LCM(811/786, 4634/702) = 3758174/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 811/786,4634/702
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 811,4634
Least Common Multiple of Numerators i.e. LCM of 811,4634 is 3758174.
GCF of Denominators means GCF of 786,702 as per the given fractions.
GCF of 786,702 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 811,4634
Given numbers has no common factors except 1. So, there LCM is their product i.e 3758174
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 811,4634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,4634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,4634) x common factors =1 x 1 = 1
LCM(811,4634) = ( 811 × 4634 ) / 1
LCM(811,4634) = 3758174 / 1
LCM(811,4634) = 3758174
Lets's calculate GCF of 786,702
2 | 786, 702 |
3 | 393, 351 |
131, 117 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3758174/6
Therefore the LCM of Fractions 811/786,4634/702 is 3758174/6
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 786,702 . The biggest common factor number is the GCF number.
So the greatest common factor 786,702 is 6.
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 811/786, 4634/702?
Answer: LCM of Numerators as per given numbers 811/786, 4634/702 is
LCM of Numerators i.e. for 811,4634 is 3758174
GCF of denominators i.e. for 786,702 is 6.
Thus, LCM of Fractions is 3758174/6.Finally, LCM of Fractions for 811/786, 4634/702 is 3758174/6.