Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/696, 581/536, 158/633 quickly i.e. 4681698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/696, 581/536, 158/633 is 4681698.
LCM(51/696, 581/536, 158/633) = 4681698
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/696,581/536,158/633
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 51,581,158
Least Common Multiple of Numerators i.e. LCM of 51,581,158 is 4681698.
GCF of Denominators means GCF of 696,536,633 as per the given fractions.
GCF of 696,536,633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,581,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 4681698
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 51,581,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,581,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,581,158) x common factors =1 x 1 = 1
LCM(51,581,158) = ( 51 × 581 × 158 ) / 1
LCM(51,581,158) = 4681698 / 1
LCM(51,581,158) = 4681698
Lets's calculate GCF of 696,536,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4681698/1
Therefore the LCM of Fractions 51/696,581/536,158/633 is 4681698
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 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 696,536,633 . The biggest common factor number is the GCF number.
So the greatest common factor 696,536,633 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 51/696, 581/536, 158/633?
Answer: LCM of Numerators as per given numbers 51/696, 581/536, 158/633 is
LCM of Numerators i.e. for 51,581,158 is 4681698
GCF of denominators i.e. for 696,536,633 is 1.
Thus, LCM of Fractions is 4681698.Finally, LCM of Fractions for 51/696, 581/536, 158/633 is 4681698.