Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 754/86, 850/38, 635/528 quickly i.e. 20348575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 754/86, 850/38, 635/528 is 20348575.
LCM(754/86, 850/38, 635/528) = 20348575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 754/86,850/38,635/528
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 754,850,635
Least Common Multiple of Numerators i.e. LCM of 754,850,635 is 40697150.
GCF of Denominators means GCF of 86,38,528 as per the given fractions.
GCF of 86,38,528 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 754,850,635
2 | 754, 850, 635 |
5 | 377, 425, 635 |
377, 85, 127 |
∴ So the LCM of the given numbers is 2 x 5 x 377 x 85 x 127 = 40697150
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 754,850,635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,850,635) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(754,850,635) x common factors =1 x 10 = 10
LCM(754,850,635) = ( 754 × 850 × 635 ) / 10
LCM(754,850,635) = 406971500 / 10
LCM(754,850,635) = 40697150
Lets's calculate GCF of 86,38,528
2 | 86, 38, 528 |
43, 19, 264 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40697150/2
Therefore the LCM of Fractions 754/86,850/38,635/528 is 20348575
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 86,38,528 . The biggest common factor number is the GCF number.
So the greatest common factor 86,38,528 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 754/86, 850/38, 635/528?
Answer: LCM of Numerators as per given numbers 754/86, 850/38, 635/528 is
LCM of Numerators i.e. for 754,850,635 is 40697150
GCF of denominators i.e. for 86,38,528 is 2.
Thus, LCM of Fractions is 20348575.Finally, LCM of Fractions for 754/86, 850/38, 635/528 is 20348575.