Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 321/737, 708/526, 541/944 quickly i.e. 40983996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 321/737, 708/526, 541/944 is 40983996.
LCM(321/737, 708/526, 541/944) = 40983996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 321/737,708/526,541/944
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 321,708,541
Least Common Multiple of Numerators i.e. LCM of 321,708,541 is 40983996.
GCF of Denominators means GCF of 737,526,944 as per the given fractions.
GCF of 737,526,944 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 321,708,541
3 | 321, 708, 541 |
107, 236, 541 |
∴ So the LCM of the given numbers is 3 x 107 x 236 x 541 = 40983996
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 321,708,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,708,541) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(321,708,541) x common factors =1 x 3 = 3
LCM(321,708,541) = ( 321 × 708 × 541 ) / 3
LCM(321,708,541) = 122951988 / 3
LCM(321,708,541) = 40983996
Lets's calculate GCF of 737,526,944
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40983996/1
Therefore the LCM of Fractions 321/737,708/526,541/944 is 40983996
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Greatest Common Factor
We found the factors 737,526,944 . The biggest common factor number is the GCF number.
So the greatest common factor 737,526,944 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 321/737, 708/526, 541/944?
Answer: LCM of Numerators as per given numbers 321/737, 708/526, 541/944 is
LCM of Numerators i.e. for 321,708,541 is 40983996
GCF of denominators i.e. for 737,526,944 is 1.
Thus, LCM of Fractions is 40983996.Finally, LCM of Fractions for 321/737, 708/526, 541/944 is 40983996.