Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 725/55, 767/70, 632/810 quickly i.e. 70287880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 725/55, 767/70, 632/810 is 70287880.
LCM(725/55, 767/70, 632/810) = 70287880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 725/55,767/70,632/810
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 725,767,632
Least Common Multiple of Numerators i.e. LCM of 725,767,632 is 351439400.
GCF of Denominators means GCF of 55,70,810 as per the given fractions.
GCF of 55,70,810 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 725,767,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 351439400
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 725,767,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,767,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,767,632) x common factors =1 x 1 = 1
LCM(725,767,632) = ( 725 × 767 × 632 ) / 1
LCM(725,767,632) = 351439400 / 1
LCM(725,767,632) = 351439400
Lets's calculate GCF of 55,70,810
5 | 55, 70, 810 |
11, 14, 162 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351439400/5
Therefore the LCM of Fractions 725/55,767/70,632/810 is 70287880
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 55,70,810 . The biggest common factor number is the GCF number.
So the greatest common factor 55,70,810 is 5.
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 725/55, 767/70, 632/810?
Answer: LCM of Numerators as per given numbers 725/55, 767/70, 632/810 is
LCM of Numerators i.e. for 725,767,632 is 351439400
GCF of denominators i.e. for 55,70,810 is 5.
Thus, LCM of Fractions is 70287880.Finally, LCM of Fractions for 725/55, 767/70, 632/810 is 70287880.