Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/35, 602/25, 879/763 quickly i.e. 2645790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/35, 602/25, 879/763 is 2645790.
LCM(70/35, 602/25, 879/763) = 2645790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/35,602/25,879/763
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 70,602,879
Least Common Multiple of Numerators i.e. LCM of 70,602,879 is 2645790.
GCF of Denominators means GCF of 35,25,763 as per the given fractions.
GCF of 35,25,763 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,602,879
2 | 70, 602, 879 |
7 | 35, 301, 879 |
5, 43, 879 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 43 x 879 = 2645790
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 70,602,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,602,879) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(70,602,879) x common factors =1 x 14 = 14
LCM(70,602,879) = ( 70 × 602 × 879 ) / 14
LCM(70,602,879) = 37041060 / 14
LCM(70,602,879) = 2645790
Lets's calculate GCF of 35,25,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2645790/1
Therefore the LCM of Fractions 70/35,602/25,879/763 is 2645790
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 35,25,763 . The biggest common factor number is the GCF number.
So the greatest common factor 35,25,763 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 70/35, 602/25, 879/763?
Answer: LCM of Numerators as per given numbers 70/35, 602/25, 879/763 is
LCM of Numerators i.e. for 70,602,879 is 2645790
GCF of denominators i.e. for 35,25,763 is 1.
Thus, LCM of Fractions is 2645790.Finally, LCM of Fractions for 70/35, 602/25, 879/763 is 2645790.