Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 883/38, 924/92, 765/315 quickly i.e. 208052460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 883/38, 924/92, 765/315 is 208052460.
LCM(883/38, 924/92, 765/315) = 208052460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 883/38,924/92,765/315
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 883,924,765
Least Common Multiple of Numerators i.e. LCM of 883,924,765 is 208052460.
GCF of Denominators means GCF of 38,92,315 as per the given fractions.
GCF of 38,92,315 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 883,924,765
3 | 883, 924, 765 |
883, 308, 255 |
∴ So the LCM of the given numbers is 3 x 883 x 308 x 255 = 208052460
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 883,924,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,924,765) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(883,924,765) x common factors =1 x 3 = 3
LCM(883,924,765) = ( 883 × 924 × 765 ) / 3
LCM(883,924,765) = 624157380 / 3
LCM(883,924,765) = 208052460
Lets's calculate GCF of 38,92,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208052460/1
Therefore the LCM of Fractions 883/38,924/92,765/315 is 208052460
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 38,92,315 . The biggest common factor number is the GCF number.
So the greatest common factor 38,92,315 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 883/38, 924/92, 765/315?
Answer: LCM of Numerators as per given numbers 883/38, 924/92, 765/315 is
LCM of Numerators i.e. for 883,924,765 is 208052460
GCF of denominators i.e. for 38,92,315 is 1.
Thus, LCM of Fractions is 208052460.Finally, LCM of Fractions for 883/38, 924/92, 765/315 is 208052460.