Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3530/786, 6828/423 quickly i.e. 4017140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3530/786, 6828/423 is 4017140.
LCM(3530/786, 6828/423) = 4017140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3530/786,6828/423
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 3530,6828
Least Common Multiple of Numerators i.e. LCM of 3530,6828 is 12051420.
GCF of Denominators means GCF of 786,423 as per the given fractions.
GCF of 786,423 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3530,6828
2 | 3530, 6828 |
1765, 3414 |
∴ So the LCM of the given numbers is 2 x 1765 x 3414 = 12051420
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 3530,6828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3530,6828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3530,6828) x common factors =2 x 1 = 2
LCM(3530,6828) = ( 3530 × 6828 ) / 2
LCM(3530,6828) = 24102840 / 2
LCM(3530,6828) = 12051420
Lets's calculate GCF of 786,423
3 | 786, 423 |
262, 141 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12051420/3
Therefore the LCM of Fractions 3530/786,6828/423 is 4017140
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 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 786,423 . The biggest common factor number is the GCF number.
So the greatest common factor 786,423 is 3.
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 3530/786, 6828/423?
Answer: LCM of Numerators as per given numbers 3530/786, 6828/423 is
LCM of Numerators i.e. for 3530,6828 is 12051420
GCF of denominators i.e. for 786,423 is 3.
Thus, LCM of Fractions is 4017140.Finally, LCM of Fractions for 3530/786, 6828/423 is 4017140.