Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 872/432, 109/370 quickly i.e. 436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 872/432, 109/370 is 436.
LCM(872/432, 109/370) = 436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 872/432,109/370
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 872,109
Least Common Multiple of Numerators i.e. LCM of 872,109 is 872.
GCF of Denominators means GCF of 432,370 as per the given fractions.
GCF of 432,370 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 872,109
109 | 872, 109 |
8, 1 |
∴ So the LCM of the given numbers is 109 x 8 x 1 = 872
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 872,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,109) = 109
common factors(in case of two or more numbers have common factors) = 1
GCF(872,109) x common factors =109 x 1 = 109
LCM(872,109) = ( 872 × 109 ) / 109
LCM(872,109) = 95048 / 109
LCM(872,109) = 872
Lets's calculate GCF of 432,370
2 | 432, 370 |
216, 185 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 872/2
Therefore the LCM of Fractions 872/432,109/370 is 436
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 432,370 . The biggest common factor number is the GCF number.
So the greatest common factor 432,370 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 872/432, 109/370?
Answer: LCM of Numerators as per given numbers 872/432, 109/370 is
LCM of Numerators i.e. for 872,109 is 872
GCF of denominators i.e. for 432,370 is 2.
Thus, LCM of Fractions is 436.Finally, LCM of Fractions for 872/432, 109/370 is 436.