Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 496/526, 6416/752 quickly i.e. 99448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 496/526, 6416/752 is 99448.
LCM(496/526, 6416/752) = 99448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 496/526,6416/752
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 496,6416
Least Common Multiple of Numerators i.e. LCM of 496,6416 is 198896.
GCF of Denominators means GCF of 526,752 as per the given fractions.
GCF of 526,752 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 496,6416
2 | 496, 6416 |
2 | 248, 3208 |
2 | 124, 1604 |
2 | 62, 802 |
31, 401 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 401 = 198896
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 496,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,6416) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(496,6416) x common factors =16 x 1 = 16
LCM(496,6416) = ( 496 × 6416 ) / 16
LCM(496,6416) = 3182336 / 16
LCM(496,6416) = 198896
Lets's calculate GCF of 526,752
2 | 526, 752 |
263, 376 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198896/2
Therefore the LCM of Fractions 496/526,6416/752 is 99448
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 526,752 . The biggest common factor number is the GCF number.
So the greatest common factor 526,752 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 496/526, 6416/752?
Answer: LCM of Numerators as per given numbers 496/526, 6416/752 is
LCM of Numerators i.e. for 496,6416 is 198896
GCF of denominators i.e. for 526,752 is 2.
Thus, LCM of Fractions is 99448.Finally, LCM of Fractions for 496/526, 6416/752 is 99448.