Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 910/49, 494/49, 152/755 quickly i.e. 69160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 910/49, 494/49, 152/755 is 69160.
LCM(910/49, 494/49, 152/755) = 69160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 910/49,494/49,152/755
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 910,494,152
Least Common Multiple of Numerators i.e. LCM of 910,494,152 is 69160.
GCF of Denominators means GCF of 49,49,755 as per the given fractions.
GCF of 49,49,755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 910,494,152
2 | 910, 494, 152 |
13 | 455, 247, 76 |
19 | 35, 19, 76 |
35, 1, 4 |
∴ So the LCM of the given numbers is 2 x 13 x 19 x 35 x 1 x 4 = 69160
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 910,494,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,494,152) = 2
common factors(in case of two or more numbers have common factors) = 494
GCF(910,494,152) x common factors =2 x 494 = 988
LCM(910,494,152) = ( 910 × 494 × 152 ) / 988
LCM(910,494,152) = 68330080 / 988
LCM(910,494,152) = 69160
Lets's calculate GCF of 49,49,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69160/1
Therefore the LCM of Fractions 910/49,494/49,152/755 is 69160
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Greatest Common Factor
We found the factors 49,49,755 . The biggest common factor number is the GCF number.
So the greatest common factor 49,49,755 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 910/49, 494/49, 152/755?
Answer: LCM of Numerators as per given numbers 910/49, 494/49, 152/755 is
LCM of Numerators i.e. for 910,494,152 is 69160
GCF of denominators i.e. for 49,49,755 is 1.
Thus, LCM of Fractions is 69160.Finally, LCM of Fractions for 910/49, 494/49, 152/755 is 69160.