Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/918, 34/696, 924/432 quickly i.e. 7854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/918, 34/696, 924/432 is 7854.
LCM(63/918, 34/696, 924/432) = 7854
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/918,34/696,924/432
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 63,34,924
Least Common Multiple of Numerators i.e. LCM of 63,34,924 is 47124.
GCF of Denominators means GCF of 918,696,432 as per the given fractions.
GCF of 918,696,432 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,34,924
2 | 63, 34, 924 |
3 | 63, 17, 462 |
7 | 21, 17, 154 |
3, 17, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 3 x 17 x 22 = 47124
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 63,34,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,34,924) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(63,34,924) x common factors =1 x 42 = 42
LCM(63,34,924) = ( 63 × 34 × 924 ) / 42
LCM(63,34,924) = 1979208 / 42
LCM(63,34,924) = 47124
Lets's calculate GCF of 918,696,432
2 | 918, 696, 432 |
3 | 459, 348, 216 |
153, 116, 72 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47124/6
Therefore the LCM of Fractions 63/918,34/696,924/432 is 7854
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 918,696,432 . The biggest common factor number is the GCF number.
So the greatest common factor 918,696,432 is 6.
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 63/918, 34/696, 924/432?
Answer: LCM of Numerators as per given numbers 63/918, 34/696, 924/432 is
LCM of Numerators i.e. for 63,34,924 is 47124
GCF of denominators i.e. for 918,696,432 is 6.
Thus, LCM of Fractions is 7854.Finally, LCM of Fractions for 63/918, 34/696, 924/432 is 7854.