Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 763/64, 348/15, 490/377 quickly i.e. 9293340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 763/64, 348/15, 490/377 is 9293340.
LCM(763/64, 348/15, 490/377) = 9293340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 763/64,348/15,490/377
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 763,348,490
Least Common Multiple of Numerators i.e. LCM of 763,348,490 is 9293340.
GCF of Denominators means GCF of 64,15,377 as per the given fractions.
GCF of 64,15,377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 763,348,490
2 | 763, 348, 490 |
7 | 763, 174, 245 |
109, 174, 35 |
∴ So the LCM of the given numbers is 2 x 7 x 109 x 174 x 35 = 9293340
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 763,348,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,348,490) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(763,348,490) x common factors =1 x 14 = 14
LCM(763,348,490) = ( 763 × 348 × 490 ) / 14
LCM(763,348,490) = 130106760 / 14
LCM(763,348,490) = 9293340
Lets's calculate GCF of 64,15,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9293340/1
Therefore the LCM of Fractions 763/64,348/15,490/377 is 9293340
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 64,15,377 . The biggest common factor number is the GCF number.
So the greatest common factor 64,15,377 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 763/64, 348/15, 490/377?
Answer: LCM of Numerators as per given numbers 763/64, 348/15, 490/377 is
LCM of Numerators i.e. for 763,348,490 is 9293340
GCF of denominators i.e. for 64,15,377 is 1.
Thus, LCM of Fractions is 9293340.Finally, LCM of Fractions for 763/64, 348/15, 490/377 is 9293340.