Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/91, 10/12, 91/56, 70/780 quickly i.e. 910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/91, 10/12, 91/56, 70/780 is 910.
LCM(35/91, 10/12, 91/56, 70/780) = 910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/91,10/12,91/56,70/780
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 35,10,91,70
Least Common Multiple of Numerators i.e. LCM of 35,10,91,70 is 910.
GCF of Denominators means GCF of 91,12,56,780 as per the given fractions.
GCF of 91,12,56,780 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,10,91,70
2 | 35, 10, 91, 70 |
5 | 35, 5, 91, 35 |
7 | 7, 1, 91, 7 |
1, 1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 1 x 13 x 1 = 910
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 35,10,91,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,10,91,70) = 1
common factors(in case of two or more numbers have common factors) = 2450
GCF(35,10,91,70) x common factors =1 x 2450 = 2450
LCM(35,10,91,70) = ( 35 × 10 × 91 × 70 ) / 2450
LCM(35,10,91,70) = 2229500 / 2450
LCM(35,10,91,70) = 910
Lets's calculate GCF of 91,12,56,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910/1
Therefore the LCM of Fractions 35/91,10/12,91/56,70/780 is 910
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 91,12,56,780 . The biggest common factor number is the GCF number.
So the greatest common factor 91,12,56,780 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 35/91, 10/12, 91/56, 70/780?
Answer: LCM of Numerators as per given numbers 35/91, 10/12, 91/56, 70/780 is
LCM of Numerators i.e. for 35,10,91,70 is 910
GCF of denominators i.e. for 91,12,56,780 is 1.
Thus, LCM of Fractions is 910.Finally, LCM of Fractions for 35/91, 10/12, 91/56, 70/780 is 910.