Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/70, 693/95, 984/692 quickly i.e. 1136520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/70, 693/95, 984/692 is 1136520.
LCM(220/70, 693/95, 984/692) = 1136520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/70,693/95,984/692
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 220,693,984
Least Common Multiple of Numerators i.e. LCM of 220,693,984 is 1136520.
GCF of Denominators means GCF of 70,95,692 as per the given fractions.
GCF of 70,95,692 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,693,984
2 | 220, 693, 984 |
2 | 110, 693, 492 |
3 | 55, 693, 246 |
11 | 55, 231, 82 |
5, 21, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 5 x 21 x 82 = 1136520
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 220,693,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,693,984) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(220,693,984) x common factors =1 x 132 = 132
LCM(220,693,984) = ( 220 × 693 × 984 ) / 132
LCM(220,693,984) = 150020640 / 132
LCM(220,693,984) = 1136520
Lets's calculate GCF of 70,95,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1136520/1
Therefore the LCM of Fractions 220/70,693/95,984/692 is 1136520
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 70,95,692 . The biggest common factor number is the GCF number.
So the greatest common factor 70,95,692 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 220/70, 693/95, 984/692?
Answer: LCM of Numerators as per given numbers 220/70, 693/95, 984/692 is
LCM of Numerators i.e. for 220,693,984 is 1136520
GCF of denominators i.e. for 70,95,692 is 1.
Thus, LCM of Fractions is 1136520.Finally, LCM of Fractions for 220/70, 693/95, 984/692 is 1136520.