Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/808, 70/149, 919/742 quickly i.e. 3409490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/808, 70/149, 919/742 is 3409490.
LCM(53/808, 70/149, 919/742) = 3409490
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/808,70/149,919/742
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 53,70,919
Least Common Multiple of Numerators i.e. LCM of 53,70,919 is 3409490.
GCF of Denominators means GCF of 808,149,742 as per the given fractions.
GCF of 808,149,742 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,70,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 3409490
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 53,70,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,70,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,70,919) x common factors =1 x 1 = 1
LCM(53,70,919) = ( 53 × 70 × 919 ) / 1
LCM(53,70,919) = 3409490 / 1
LCM(53,70,919) = 3409490
Lets's calculate GCF of 808,149,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3409490/1
Therefore the LCM of Fractions 53/808,70/149,919/742 is 3409490
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 808,149,742 . The biggest common factor number is the GCF number.
So the greatest common factor 808,149,742 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 53/808, 70/149, 919/742?
Answer: LCM of Numerators as per given numbers 53/808, 70/149, 919/742 is
LCM of Numerators i.e. for 53,70,919 is 3409490
GCF of denominators i.e. for 808,149,742 is 1.
Thus, LCM of Fractions is 3409490.Finally, LCM of Fractions for 53/808, 70/149, 919/742 is 3409490.