Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/136, 758/724, 356/868 quickly i.e. 1045661 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/136, 758/724, 356/868 is 1045661.
LCM(62/136, 758/724, 356/868) = 1045661
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/136,758/724,356/868
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 62,758,356
Least Common Multiple of Numerators i.e. LCM of 62,758,356 is 4182644.
GCF of Denominators means GCF of 136,724,868 as per the given fractions.
GCF of 136,724,868 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,758,356
2 | 62, 758, 356 |
31, 379, 178 |
∴ So the LCM of the given numbers is 2 x 31 x 379 x 178 = 4182644
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 62,758,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,758,356) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,758,356) x common factors =2 x 2 = 4
LCM(62,758,356) = ( 62 × 758 × 356 ) / 4
LCM(62,758,356) = 16730576 / 4
LCM(62,758,356) = 4182644
Lets's calculate GCF of 136,724,868
2 | 136, 724, 868 |
2 | 68, 362, 434 |
34, 181, 217 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4182644/4
Therefore the LCM of Fractions 62/136,758/724,356/868 is 1045661
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Greatest Common Factor
We found the factors 136,724,868 . The biggest common factor number is the GCF number.
So the greatest common factor 136,724,868 is 4.
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 62/136, 758/724, 356/868?
Answer: LCM of Numerators as per given numbers 62/136, 758/724, 356/868 is
LCM of Numerators i.e. for 62,758,356 is 4182644
GCF of denominators i.e. for 136,724,868 is 4.
Thus, LCM of Fractions is 1045661.Finally, LCM of Fractions for 62/136, 758/724, 356/868 is 1045661.