Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 883/765, 282/499, 945/630 quickly i.e. 78436890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 883/765, 282/499, 945/630 is 78436890.
LCM(883/765, 282/499, 945/630) = 78436890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 883/765,282/499,945/630
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 883,282,945
Least Common Multiple of Numerators i.e. LCM of 883,282,945 is 78436890.
GCF of Denominators means GCF of 765,499,630 as per the given fractions.
GCF of 765,499,630 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 883,282,945
3 | 883, 282, 945 |
883, 94, 315 |
∴ So the LCM of the given numbers is 3 x 883 x 94 x 315 = 78436890
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 883,282,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,282,945) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(883,282,945) x common factors =1 x 3 = 3
LCM(883,282,945) = ( 883 × 282 × 945 ) / 3
LCM(883,282,945) = 235310670 / 3
LCM(883,282,945) = 78436890
Lets's calculate GCF of 765,499,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78436890/1
Therefore the LCM of Fractions 883/765,282/499,945/630 is 78436890
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 765,499,630 . The biggest common factor number is the GCF number.
So the greatest common factor 765,499,630 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 883/765, 282/499, 945/630?
Answer: LCM of Numerators as per given numbers 883/765, 282/499, 945/630 is
LCM of Numerators i.e. for 883,282,945 is 78436890
GCF of denominators i.e. for 765,499,630 is 1.
Thus, LCM of Fractions is 78436890.Finally, LCM of Fractions for 883/765, 282/499, 945/630 is 78436890.