Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/716, 88/961, 952/606 quickly i.e. 240856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/716, 88/961, 952/606 is 240856.
LCM(92/716, 88/961, 952/606) = 240856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/716,88/961,952/606
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 92,88,952
Least Common Multiple of Numerators i.e. LCM of 92,88,952 is 240856.
GCF of Denominators means GCF of 716,961,606 as per the given fractions.
GCF of 716,961,606 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,88,952
2 | 92, 88, 952 |
2 | 46, 44, 476 |
2 | 23, 22, 238 |
23, 11, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 11 x 119 = 240856
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 92,88,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,88,952) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(92,88,952) x common factors =4 x 8 = 32
LCM(92,88,952) = ( 92 × 88 × 952 ) / 32
LCM(92,88,952) = 7707392 / 32
LCM(92,88,952) = 240856
Lets's calculate GCF of 716,961,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240856/1
Therefore the LCM of Fractions 92/716,88/961,952/606 is 240856
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 961
List of positive integer factors of 961 that divides 961 without a remainder.
1,31,961
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 716,961,606 . The biggest common factor number is the GCF number.
So the greatest common factor 716,961,606 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 92/716, 88/961, 952/606?
Answer: LCM of Numerators as per given numbers 92/716, 88/961, 952/606 is
LCM of Numerators i.e. for 92,88,952 is 240856
GCF of denominators i.e. for 716,961,606 is 1.
Thus, LCM of Fractions is 240856.Finally, LCM of Fractions for 92/716, 88/961, 952/606 is 240856.