Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/99, 603/51, 942/705 quickly i.e. 2208990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/99, 603/51, 942/705 is 2208990.
LCM(70/99, 603/51, 942/705) = 2208990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/99,603/51,942/705
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 70,603,942
Least Common Multiple of Numerators i.e. LCM of 70,603,942 is 6626970.
GCF of Denominators means GCF of 99,51,705 as per the given fractions.
GCF of 99,51,705 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,603,942
2 | 70, 603, 942 |
3 | 35, 603, 471 |
35, 201, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 201 x 157 = 6626970
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 70,603,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,603,942) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(70,603,942) x common factors =1 x 6 = 6
LCM(70,603,942) = ( 70 × 603 × 942 ) / 6
LCM(70,603,942) = 39761820 / 6
LCM(70,603,942) = 6626970
Lets's calculate GCF of 99,51,705
3 | 99, 51, 705 |
33, 17, 235 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6626970/3
Therefore the LCM of Fractions 70/99,603/51,942/705 is 2208990
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 99,51,705 . The biggest common factor number is the GCF number.
So the greatest common factor 99,51,705 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 70/99, 603/51, 942/705?
Answer: LCM of Numerators as per given numbers 70/99, 603/51, 942/705 is
LCM of Numerators i.e. for 70,603,942 is 6626970
GCF of denominators i.e. for 99,51,705 is 3.
Thus, LCM of Fractions is 2208990.Finally, LCM of Fractions for 70/99, 603/51, 942/705 is 2208990.