Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 882/63, 943/51, 807/921 quickly i.e. 74578098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 882/63, 943/51, 807/921 is 74578098.
LCM(882/63, 943/51, 807/921) = 74578098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 882/63,943/51,807/921
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 882,943,807
Least Common Multiple of Numerators i.e. LCM of 882,943,807 is 223734294.
GCF of Denominators means GCF of 63,51,921 as per the given fractions.
GCF of 63,51,921 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 882,943,807
3 | 882, 943, 807 |
294, 943, 269 |
∴ So the LCM of the given numbers is 3 x 294 x 943 x 269 = 223734294
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 882,943,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,943,807) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(882,943,807) x common factors =1 x 3 = 3
LCM(882,943,807) = ( 882 × 943 × 807 ) / 3
LCM(882,943,807) = 671202882 / 3
LCM(882,943,807) = 223734294
Lets's calculate GCF of 63,51,921
3 | 63, 51, 921 |
21, 17, 307 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223734294/3
Therefore the LCM of Fractions 882/63,943/51,807/921 is 74578098
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 63,51,921 . The biggest common factor number is the GCF number.
So the greatest common factor 63,51,921 is 3.
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 882/63, 943/51, 807/921?
Answer: LCM of Numerators as per given numbers 882/63, 943/51, 807/921 is
LCM of Numerators i.e. for 882,943,807 is 223734294
GCF of denominators i.e. for 63,51,921 is 3.
Thus, LCM of Fractions is 74578098.Finally, LCM of Fractions for 882/63, 943/51, 807/921 is 74578098.