Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/871, 972/434, 762/750 quickly i.e. 4320540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/871, 972/434, 762/750 is 4320540.
LCM(35/871, 972/434, 762/750) = 4320540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/871,972/434,762/750
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 35,972,762
Least Common Multiple of Numerators i.e. LCM of 35,972,762 is 4320540.
GCF of Denominators means GCF of 871,434,750 as per the given fractions.
GCF of 871,434,750 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,972,762
2 | 35, 972, 762 |
3 | 35, 486, 381 |
35, 162, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 162 x 127 = 4320540
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 35,972,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,972,762) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(35,972,762) x common factors =1 x 6 = 6
LCM(35,972,762) = ( 35 × 972 × 762 ) / 6
LCM(35,972,762) = 25923240 / 6
LCM(35,972,762) = 4320540
Lets's calculate GCF of 871,434,750
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4320540/1
Therefore the LCM of Fractions 35/871,972/434,762/750 is 4320540
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Greatest Common Factor
We found the factors 871,434,750 . The biggest common factor number is the GCF number.
So the greatest common factor 871,434,750 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 35/871, 972/434, 762/750?
Answer: LCM of Numerators as per given numbers 35/871, 972/434, 762/750 is
LCM of Numerators i.e. for 35,972,762 is 4320540
GCF of denominators i.e. for 871,434,750 is 1.
Thus, LCM of Fractions is 4320540.Finally, LCM of Fractions for 35/871, 972/434, 762/750 is 4320540.