Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 715/10, 418/94, 139/176 quickly i.e. 1888315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 715/10, 418/94, 139/176 is 1888315.
LCM(715/10, 418/94, 139/176) = 1888315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 715/10,418/94,139/176
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 715,418,139
Least Common Multiple of Numerators i.e. LCM of 715,418,139 is 3776630.
GCF of Denominators means GCF of 10,94,176 as per the given fractions.
GCF of 10,94,176 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 715,418,139
11 | 715, 418, 139 |
65, 38, 139 |
∴ So the LCM of the given numbers is 11 x 65 x 38 x 139 = 3776630
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 715,418,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,418,139) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(715,418,139) x common factors =1 x 11 = 11
LCM(715,418,139) = ( 715 × 418 × 139 ) / 11
LCM(715,418,139) = 41542930 / 11
LCM(715,418,139) = 3776630
Lets's calculate GCF of 10,94,176
2 | 10, 94, 176 |
5, 47, 88 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3776630/2
Therefore the LCM of Fractions 715/10,418/94,139/176 is 1888315
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 10,94,176 . The biggest common factor number is the GCF number.
So the greatest common factor 10,94,176 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 715/10, 418/94, 139/176?
Answer: LCM of Numerators as per given numbers 715/10, 418/94, 139/176 is
LCM of Numerators i.e. for 715,418,139 is 3776630
GCF of denominators i.e. for 10,94,176 is 2.
Thus, LCM of Fractions is 1888315.Finally, LCM of Fractions for 715/10, 418/94, 139/176 is 1888315.