Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/922, 92/195, 708/678 quickly i.e. 569940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/922, 92/195, 708/678 is 569940.
LCM(70/922, 92/195, 708/678) = 569940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/922,92/195,708/678
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 70,92,708
Least Common Multiple of Numerators i.e. LCM of 70,92,708 is 569940.
GCF of Denominators means GCF of 922,195,678 as per the given fractions.
GCF of 922,195,678 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,92,708
2 | 70, 92, 708 |
2 | 35, 46, 354 |
35, 23, 177 |
∴ So the LCM of the given numbers is 2 x 2 x 35 x 23 x 177 = 569940
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 70,92,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,92,708) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(70,92,708) x common factors =2 x 4 = 8
LCM(70,92,708) = ( 70 × 92 × 708 ) / 8
LCM(70,92,708) = 4559520 / 8
LCM(70,92,708) = 569940
Lets's calculate GCF of 922,195,678
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 569940/1
Therefore the LCM of Fractions 70/922,92/195,708/678 is 569940
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 922,195,678 . The biggest common factor number is the GCF number.
So the greatest common factor 922,195,678 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 70/922, 92/195, 708/678?
Answer: LCM of Numerators as per given numbers 70/922, 92/195, 708/678 is
LCM of Numerators i.e. for 70,92,708 is 569940
GCF of denominators i.e. for 922,195,678 is 1.
Thus, LCM of Fractions is 569940.Finally, LCM of Fractions for 70/922, 92/195, 708/678 is 569940.