Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/78, 476/34, 681/10 quickly i.e. 154460334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/78, 476/34, 681/10 is 154460334.
LCM(953/78, 476/34, 681/10) = 154460334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/78,476/34,681/10
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 953,476,681
Least Common Multiple of Numerators i.e. LCM of 953,476,681 is 308920668.
GCF of Denominators means GCF of 78,34,10 as per the given fractions.
GCF of 78,34,10 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,476,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 308920668
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 953,476,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,476,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,476,681) x common factors =1 x 1 = 1
LCM(953,476,681) = ( 953 × 476 × 681 ) / 1
LCM(953,476,681) = 308920668 / 1
LCM(953,476,681) = 308920668
Lets's calculate GCF of 78,34,10
2 | 78, 34, 10 |
39, 17, 5 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 308920668/2
Therefore the LCM of Fractions 953/78,476/34,681/10 is 154460334
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 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
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 78,34,10 . The biggest common factor number is the GCF number.
So the greatest common factor 78,34,10 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 953/78, 476/34, 681/10?
Answer: LCM of Numerators as per given numbers 953/78, 476/34, 681/10 is
LCM of Numerators i.e. for 953,476,681 is 308920668
GCF of denominators i.e. for 78,34,10 is 2.
Thus, LCM of Fractions is 154460334.Finally, LCM of Fractions for 953/78, 476/34, 681/10 is 154460334.