Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/785, 91/930, 770/787 quickly i.e. 40040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/785, 91/930, 770/787 is 40040.
LCM(88/785, 91/930, 770/787) = 40040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/785,91/930,770/787
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 88,91,770
Least Common Multiple of Numerators i.e. LCM of 88,91,770 is 40040.
GCF of Denominators means GCF of 785,930,787 as per the given fractions.
GCF of 785,930,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,91,770
2 | 88, 91, 770 |
7 | 44, 91, 385 |
11 | 44, 13, 55 |
4, 13, 5 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 4 x 13 x 5 = 40040
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 88,91,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,91,770) = 1
common factors(in case of two or more numbers have common factors) = 154
GCF(88,91,770) x common factors =1 x 154 = 154
LCM(88,91,770) = ( 88 × 91 × 770 ) / 154
LCM(88,91,770) = 6166160 / 154
LCM(88,91,770) = 40040
Lets's calculate GCF of 785,930,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40040/1
Therefore the LCM of Fractions 88/785,91/930,770/787 is 40040
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 785,930,787 . The biggest common factor number is the GCF number.
So the greatest common factor 785,930,787 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 88/785, 91/930, 770/787?
Answer: LCM of Numerators as per given numbers 88/785, 91/930, 770/787 is
LCM of Numerators i.e. for 88,91,770 is 40040
GCF of denominators i.e. for 785,930,787 is 1.
Thus, LCM of Fractions is 40040.Finally, LCM of Fractions for 88/785, 91/930, 770/787 is 40040.