Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/354, 744/759, 781/156 quickly i.e. 193688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/354, 744/759, 781/156 is 193688.
LCM(66/354, 744/759, 781/156) = 193688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/354,744/759,781/156
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 66,744,781
Least Common Multiple of Numerators i.e. LCM of 66,744,781 is 581064.
GCF of Denominators means GCF of 354,759,156 as per the given fractions.
GCF of 354,759,156 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,744,781
2 | 66, 744, 781 |
3 | 33, 372, 781 |
11 | 11, 124, 781 |
1, 124, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 124 x 71 = 581064
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 66,744,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,744,781) = 1
common factors(in case of two or more numbers have common factors) = 66
GCF(66,744,781) x common factors =1 x 66 = 66
LCM(66,744,781) = ( 66 × 744 × 781 ) / 66
LCM(66,744,781) = 38350224 / 66
LCM(66,744,781) = 581064
Lets's calculate GCF of 354,759,156
3 | 354, 759, 156 |
118, 253, 52 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581064/3
Therefore the LCM of Fractions 66/354,744/759,781/156 is 193688
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Greatest Common Factor
We found the factors 354,759,156 . The biggest common factor number is the GCF number.
So the greatest common factor 354,759,156 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 66/354, 744/759, 781/156?
Answer: LCM of Numerators as per given numbers 66/354, 744/759, 781/156 is
LCM of Numerators i.e. for 66,744,781 is 581064
GCF of denominators i.e. for 354,759,156 is 3.
Thus, LCM of Fractions is 193688.Finally, LCM of Fractions for 66/354, 744/759, 781/156 is 193688.