Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 379/555, 740/830, 956/921 quickly i.e. 67029940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 379/555, 740/830, 956/921 is 67029940.
LCM(379/555, 740/830, 956/921) = 67029940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 379/555,740/830,956/921
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 379,740,956
Least Common Multiple of Numerators i.e. LCM of 379,740,956 is 67029940.
GCF of Denominators means GCF of 555,830,921 as per the given fractions.
GCF of 555,830,921 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 379,740,956
2 | 379, 740, 956 |
2 | 379, 370, 478 |
379, 185, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 379 x 185 x 239 = 67029940
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 379,740,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,740,956) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(379,740,956) x common factors =1 x 4 = 4
LCM(379,740,956) = ( 379 × 740 × 956 ) / 4
LCM(379,740,956) = 268119760 / 4
LCM(379,740,956) = 67029940
Lets's calculate GCF of 555,830,921
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67029940/1
Therefore the LCM of Fractions 379/555,740/830,956/921 is 67029940
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
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 555,830,921 . The biggest common factor number is the GCF number.
So the greatest common factor 555,830,921 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 379/555, 740/830, 956/921?
Answer: LCM of Numerators as per given numbers 379/555, 740/830, 956/921 is
LCM of Numerators i.e. for 379,740,956 is 67029940
GCF of denominators i.e. for 555,830,921 is 1.
Thus, LCM of Fractions is 67029940.Finally, LCM of Fractions for 379/555, 740/830, 956/921 is 67029940.