Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 253/950, 2528/762 quickly i.e. 319792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 253/950, 2528/762 is 319792.
LCM(253/950, 2528/762) = 319792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 253/950,2528/762
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 253,2528
Least Common Multiple of Numerators i.e. LCM of 253,2528 is 639584.
GCF of Denominators means GCF of 950,762 as per the given fractions.
GCF of 950,762 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 253,2528
Given numbers has no common factors except 1. So, there LCM is their product i.e 639584
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 253,2528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,2528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(253,2528) x common factors =1 x 1 = 1
LCM(253,2528) = ( 253 × 2528 ) / 1
LCM(253,2528) = 639584 / 1
LCM(253,2528) = 639584
Lets's calculate GCF of 950,762
2 | 950, 762 |
475, 381 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 639584/2
Therefore the LCM of Fractions 253/950,2528/762 is 319792
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Greatest Common Factor
We found the factors 950,762 . The biggest common factor number is the GCF number.
So the greatest common factor 950,762 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 253/950, 2528/762?
Answer: LCM of Numerators as per given numbers 253/950, 2528/762 is
LCM of Numerators i.e. for 253,2528 is 639584
GCF of denominators i.e. for 950,762 is 2.
Thus, LCM of Fractions is 319792.Finally, LCM of Fractions for 253/950, 2528/762 is 319792.