Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/762, 4387/988 quickly i.e. 1890797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/762, 4387/988 is 1890797.
LCM(862/762, 4387/988) = 1890797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/762,4387/988
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 862,4387
Least Common Multiple of Numerators i.e. LCM of 862,4387 is 3781594.
GCF of Denominators means GCF of 762,988 as per the given fractions.
GCF of 762,988 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,4387
Given numbers has no common factors except 1. So, there LCM is their product i.e 3781594
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 862,4387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,4387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,4387) x common factors =1 x 1 = 1
LCM(862,4387) = ( 862 × 4387 ) / 1
LCM(862,4387) = 3781594 / 1
LCM(862,4387) = 3781594
Lets's calculate GCF of 762,988
2 | 762, 988 |
381, 494 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3781594/2
Therefore the LCM of Fractions 862/762,4387/988 is 1890797
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 762,988 . The biggest common factor number is the GCF number.
So the greatest common factor 762,988 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 862/762, 4387/988?
Answer: LCM of Numerators as per given numbers 862/762, 4387/988 is
LCM of Numerators i.e. for 862,4387 is 3781594
GCF of denominators i.e. for 762,988 is 2.
Thus, LCM of Fractions is 1890797.Finally, LCM of Fractions for 862/762, 4387/988 is 1890797.