Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/954, 956/316, 332/359 quickly i.e. 7538060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/954, 956/316, 332/359 is 7538060.
LCM(95/954, 956/316, 332/359) = 7538060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/954,956/316,332/359
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 95,956,332
Least Common Multiple of Numerators i.e. LCM of 95,956,332 is 7538060.
GCF of Denominators means GCF of 954,316,359 as per the given fractions.
GCF of 954,316,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,956,332
2 | 95, 956, 332 |
2 | 95, 478, 166 |
95, 239, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 95 x 239 x 83 = 7538060
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 95,956,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,956,332) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(95,956,332) x common factors =1 x 4 = 4
LCM(95,956,332) = ( 95 × 956 × 332 ) / 4
LCM(95,956,332) = 30152240 / 4
LCM(95,956,332) = 7538060
Lets's calculate GCF of 954,316,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7538060/1
Therefore the LCM of Fractions 95/954,956/316,332/359 is 7538060
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 954,316,359 . The biggest common factor number is the GCF number.
So the greatest common factor 954,316,359 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 95/954, 956/316, 332/359?
Answer: LCM of Numerators as per given numbers 95/954, 956/316, 332/359 is
LCM of Numerators i.e. for 95,956,332 is 7538060
GCF of denominators i.e. for 954,316,359 is 1.
Thus, LCM of Fractions is 7538060.Finally, LCM of Fractions for 95/954, 956/316, 332/359 is 7538060.