Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4950/770, 3376/3817 quickly i.e. 759600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4950/770, 3376/3817 is 759600.
LCM(4950/770, 3376/3817) = 759600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4950/770,3376/3817
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 4950,3376
Least Common Multiple of Numerators i.e. LCM of 4950,3376 is 8355600.
GCF of Denominators means GCF of 770,3817 as per the given fractions.
GCF of 770,3817 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4950,3376
2 | 4950, 3376 |
2475, 1688 |
∴ So the LCM of the given numbers is 2 x 2475 x 1688 = 8355600
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 4950,3376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4950,3376) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4950,3376) x common factors =2 x 1 = 2
LCM(4950,3376) = ( 4950 × 3376 ) / 2
LCM(4950,3376) = 16711200 / 2
LCM(4950,3376) = 8355600
Lets's calculate GCF of 770,3817
11 | 770, 3817 |
70, 347 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8355600/11
Therefore the LCM of Fractions 4950/770,3376/3817 is 759600
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 3817
List of positive integer factors of 3817 that divides 3817 without a remainder.
1,11,347,3817
Greatest Common Factor
We found the factors 770,3817 . The biggest common factor number is the GCF number.
So the greatest common factor 770,3817 is 11.
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 4950/770, 3376/3817?
Answer: LCM of Numerators as per given numbers 4950/770, 3376/3817 is
LCM of Numerators i.e. for 4950,3376 is 8355600
GCF of denominators i.e. for 770,3817 is 11.
Thus, LCM of Fractions is 759600.Finally, LCM of Fractions for 4950/770, 3376/3817 is 759600.