Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1602/742, 4094/610 quickly i.e. 18423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1602/742, 4094/610 is 18423.
LCM(1602/742, 4094/610) = 18423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1602/742,4094/610
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 1602,4094
Least Common Multiple of Numerators i.e. LCM of 1602,4094 is 36846.
GCF of Denominators means GCF of 742,610 as per the given fractions.
GCF of 742,610 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1602,4094
2 | 1602, 4094 |
89 | 801, 2047 |
9, 23 |
∴ So the LCM of the given numbers is 2 x 89 x 9 x 23 = 36846
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 1602,4094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1602,4094) = 178
common factors(in case of two or more numbers have common factors) = 1
GCF(1602,4094) x common factors =178 x 1 = 178
LCM(1602,4094) = ( 1602 × 4094 ) / 178
LCM(1602,4094) = 6558588 / 178
LCM(1602,4094) = 36846
Lets's calculate GCF of 742,610
2 | 742, 610 |
371, 305 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36846/2
Therefore the LCM of Fractions 1602/742,4094/610 is 18423
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 742,610 . The biggest common factor number is the GCF number.
So the greatest common factor 742,610 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 1602/742, 4094/610?
Answer: LCM of Numerators as per given numbers 1602/742, 4094/610 is
LCM of Numerators i.e. for 1602,4094 is 36846
GCF of denominators i.e. for 742,610 is 2.
Thus, LCM of Fractions is 18423.Finally, LCM of Fractions for 1602/742, 4094/610 is 18423.