Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/77, 767/4011 quickly i.e. 5369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/77, 767/4011 is 5369.
LCM(637/77, 767/4011) = 5369
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/77,767/4011
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 637,767
Least Common Multiple of Numerators i.e. LCM of 637,767 is 37583.
GCF of Denominators means GCF of 77,4011 as per the given fractions.
GCF of 77,4011 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,767
13 | 637, 767 |
49, 59 |
∴ So the LCM of the given numbers is 13 x 49 x 59 = 37583
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 637,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,767) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(637,767) x common factors =13 x 1 = 13
LCM(637,767) = ( 637 × 767 ) / 13
LCM(637,767) = 488579 / 13
LCM(637,767) = 37583
Lets's calculate GCF of 77,4011
7 | 77, 4011 |
11, 573 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37583/7
Therefore the LCM of Fractions 637/77,767/4011 is 5369
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 4011
List of positive integer factors of 4011 that divides 4011 without a remainder.
1,3,7,21,191,573,1337,4011
Greatest Common Factor
We found the factors 77,4011 . The biggest common factor number is the GCF number.
So the greatest common factor 77,4011 is 7.
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 637/77, 767/4011?
Answer: LCM of Numerators as per given numbers 637/77, 767/4011 is
LCM of Numerators i.e. for 637,767 is 37583
GCF of denominators i.e. for 77,4011 is 7.
Thus, LCM of Fractions is 5369.Finally, LCM of Fractions for 637/77, 767/4011 is 5369.