Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 490/973, 708/164, 761/158 quickly i.e. 132003060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 490/973, 708/164, 761/158 is 132003060.
LCM(490/973, 708/164, 761/158) = 132003060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 490/973,708/164,761/158
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 490,708,761
Least Common Multiple of Numerators i.e. LCM of 490,708,761 is 132003060.
GCF of Denominators means GCF of 973,164,158 as per the given fractions.
GCF of 973,164,158 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 490,708,761
2 | 490, 708, 761 |
245, 354, 761 |
∴ So the LCM of the given numbers is 2 x 245 x 354 x 761 = 132003060
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 490,708,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,708,761) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(490,708,761) x common factors =1 x 2 = 2
LCM(490,708,761) = ( 490 × 708 × 761 ) / 2
LCM(490,708,761) = 264006120 / 2
LCM(490,708,761) = 132003060
Lets's calculate GCF of 973,164,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132003060/1
Therefore the LCM of Fractions 490/973,708/164,761/158 is 132003060
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 973,164,158 . The biggest common factor number is the GCF number.
So the greatest common factor 973,164,158 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 490/973, 708/164, 761/158?
Answer: LCM of Numerators as per given numbers 490/973, 708/164, 761/158 is
LCM of Numerators i.e. for 490,708,761 is 132003060
GCF of denominators i.e. for 973,164,158 is 1.
Thus, LCM of Fractions is 132003060.Finally, LCM of Fractions for 490/973, 708/164, 761/158 is 132003060.