Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 431/29, 707/78, 961/840 quickly i.e. 292833037 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 431/29, 707/78, 961/840 is 292833037.
LCM(431/29, 707/78, 961/840) = 292833037
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 431/29,707/78,961/840
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 431,707,961
Least Common Multiple of Numerators i.e. LCM of 431,707,961 is 292833037.
GCF of Denominators means GCF of 29,78,840 as per the given fractions.
GCF of 29,78,840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 431,707,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 292833037
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 431,707,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,707,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,707,961) x common factors =1 x 1 = 1
LCM(431,707,961) = ( 431 × 707 × 961 ) / 1
LCM(431,707,961) = 292833037 / 1
LCM(431,707,961) = 292833037
Lets's calculate GCF of 29,78,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292833037/1
Therefore the LCM of Fractions 431/29,707/78,961/840 is 292833037
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 29,78,840 . The biggest common factor number is the GCF number.
So the greatest common factor 29,78,840 is 1.
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 431/29, 707/78, 961/840?
Answer: LCM of Numerators as per given numbers 431/29, 707/78, 961/840 is
LCM of Numerators i.e. for 431,707,961 is 292833037
GCF of denominators i.e. for 29,78,840 is 1.
Thus, LCM of Fractions is 292833037.Finally, LCM of Fractions for 431/29, 707/78, 961/840 is 292833037.