Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/551, 730/823, 876/725 quickly i.e. 1055580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/551, 730/823, 876/725 is 1055580.
LCM(964/551, 730/823, 876/725) = 1055580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/551,730/823,876/725
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 964,730,876
Least Common Multiple of Numerators i.e. LCM of 964,730,876 is 1055580.
GCF of Denominators means GCF of 551,823,725 as per the given fractions.
GCF of 551,823,725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,730,876
2 | 964, 730, 876 |
2 | 482, 365, 438 |
73 | 241, 365, 219 |
241, 5, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 241 x 5 x 3 = 1055580
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 964,730,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,730,876) = 2
common factors(in case of two or more numbers have common factors) = 292
GCF(964,730,876) x common factors =2 x 292 = 584
LCM(964,730,876) = ( 964 × 730 × 876 ) / 584
LCM(964,730,876) = 616458720 / 584
LCM(964,730,876) = 1055580
Lets's calculate GCF of 551,823,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1055580/1
Therefore the LCM of Fractions 964/551,730/823,876/725 is 1055580
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 823
List of positive integer factors of 823 that divides 823 without a remainder.
1,823
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 551,823,725 . The biggest common factor number is the GCF number.
So the greatest common factor 551,823,725 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 964/551, 730/823, 876/725?
Answer: LCM of Numerators as per given numbers 964/551, 730/823, 876/725 is
LCM of Numerators i.e. for 964,730,876 is 1055580
GCF of denominators i.e. for 551,823,725 is 1.
Thus, LCM of Fractions is 1055580.Finally, LCM of Fractions for 964/551, 730/823, 876/725 is 1055580.