Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 910/898, 803/336, 707/206 quickly i.e. 36901865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 910/898, 803/336, 707/206 is 36901865.
LCM(910/898, 803/336, 707/206) = 36901865
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 910/898,803/336,707/206
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 910,803,707
Least Common Multiple of Numerators i.e. LCM of 910,803,707 is 73803730.
GCF of Denominators means GCF of 898,336,206 as per the given fractions.
GCF of 898,336,206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 910,803,707
7 | 910, 803, 707 |
130, 803, 101 |
∴ So the LCM of the given numbers is 7 x 130 x 803 x 101 = 73803730
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 910,803,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,803,707) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(910,803,707) x common factors =1 x 7 = 7
LCM(910,803,707) = ( 910 × 803 × 707 ) / 7
LCM(910,803,707) = 516626110 / 7
LCM(910,803,707) = 73803730
Lets's calculate GCF of 898,336,206
2 | 898, 336, 206 |
449, 168, 103 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73803730/2
Therefore the LCM of Fractions 910/898,803/336,707/206 is 36901865
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 898,336,206 . The biggest common factor number is the GCF number.
So the greatest common factor 898,336,206 is 2.
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 910/898, 803/336, 707/206?
Answer: LCM of Numerators as per given numbers 910/898, 803/336, 707/206 is
LCM of Numerators i.e. for 910,803,707 is 73803730
GCF of denominators i.e. for 898,336,206 is 2.
Thus, LCM of Fractions is 36901865.Finally, LCM of Fractions for 910/898, 803/336, 707/206 is 36901865.