Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 781/10, 670/14, 882/10 quickly i.e. 115381035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 781/10, 670/14, 882/10 is 115381035.
LCM(781/10, 670/14, 882/10) = 115381035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 781/10,670/14,882/10
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 781,670,882
Least Common Multiple of Numerators i.e. LCM of 781,670,882 is 230762070.
GCF of Denominators means GCF of 10,14,10 as per the given fractions.
GCF of 10,14,10 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 781,670,882
2 | 781, 670, 882 |
781, 335, 441 |
∴ So the LCM of the given numbers is 2 x 781 x 335 x 441 = 230762070
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 781,670,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(781,670,882) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(781,670,882) x common factors =1 x 2 = 2
LCM(781,670,882) = ( 781 × 670 × 882 ) / 2
LCM(781,670,882) = 461524140 / 2
LCM(781,670,882) = 230762070
Lets's calculate GCF of 10,14,10
2 | 10, 14, 10 |
5, 7, 5 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230762070/2
Therefore the LCM of Fractions 781/10,670/14,882/10 is 115381035
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Greatest Common Factor
We found the factors 10,14,10 . The biggest common factor number is the GCF number.
So the greatest common factor 10,14,10 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 781/10, 670/14, 882/10?
Answer: LCM of Numerators as per given numbers 781/10, 670/14, 882/10 is
LCM of Numerators i.e. for 781,670,882 is 230762070
GCF of denominators i.e. for 10,14,10 is 2.
Thus, LCM of Fractions is 115381035.Finally, LCM of Fractions for 781/10, 670/14, 882/10 is 115381035.