Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 736/162, 702/648, 536/544 quickly i.e. 8654256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 736/162, 702/648, 536/544 is 8654256.
LCM(736/162, 702/648, 536/544) = 8654256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 736/162,702/648,536/544
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 736,702,536
Least Common Multiple of Numerators i.e. LCM of 736,702,536 is 17308512.
GCF of Denominators means GCF of 162,648,544 as per the given fractions.
GCF of 162,648,544 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 736,702,536
2 | 736, 702, 536 |
2 | 368, 351, 268 |
2 | 184, 351, 134 |
92, 351, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 92 x 351 x 67 = 17308512
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 736,702,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,702,536) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(736,702,536) x common factors =2 x 8 = 16
LCM(736,702,536) = ( 736 × 702 × 536 ) / 16
LCM(736,702,536) = 276936192 / 16
LCM(736,702,536) = 17308512
Lets's calculate GCF of 162,648,544
2 | 162, 648, 544 |
81, 324, 272 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17308512/2
Therefore the LCM of Fractions 736/162,702/648,536/544 is 8654256
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 162,648,544 . The biggest common factor number is the GCF number.
So the greatest common factor 162,648,544 is 2.
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 736/162, 702/648, 536/544?
Answer: LCM of Numerators as per given numbers 736/162, 702/648, 536/544 is
LCM of Numerators i.e. for 736,702,536 is 17308512
GCF of denominators i.e. for 162,648,544 is 2.
Thus, LCM of Fractions is 8654256.Finally, LCM of Fractions for 736/162, 702/648, 536/544 is 8654256.