Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/942, 908/368, 414/713 quickly i.e. 187956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/942, 908/368, 414/713 is 187956.
LCM(69/942, 908/368, 414/713) = 187956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/942,908/368,414/713
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 69,908,414
Least Common Multiple of Numerators i.e. LCM of 69,908,414 is 187956.
GCF of Denominators means GCF of 942,368,713 as per the given fractions.
GCF of 942,368,713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,908,414
2 | 69, 908, 414 |
3 | 69, 454, 207 |
23 | 23, 454, 69 |
1, 454, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 454 x 3 = 187956
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 69,908,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,908,414) = 1
common factors(in case of two or more numbers have common factors) = 138
GCF(69,908,414) x common factors =1 x 138 = 138
LCM(69,908,414) = ( 69 × 908 × 414 ) / 138
LCM(69,908,414) = 25937928 / 138
LCM(69,908,414) = 187956
Lets's calculate GCF of 942,368,713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187956/1
Therefore the LCM of Fractions 69/942,908/368,414/713 is 187956
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Greatest Common Factor
We found the factors 942,368,713 . The biggest common factor number is the GCF number.
So the greatest common factor 942,368,713 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 69/942, 908/368, 414/713?
Answer: LCM of Numerators as per given numbers 69/942, 908/368, 414/713 is
LCM of Numerators i.e. for 69,908,414 is 187956
GCF of denominators i.e. for 942,368,713 is 1.
Thus, LCM of Fractions is 187956.Finally, LCM of Fractions for 69/942, 908/368, 414/713 is 187956.