Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/966, 457/840, 835/508 quickly i.e. 16790180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/966, 457/840, 835/508 is 16790180.
LCM(88/966, 457/840, 835/508) = 16790180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/966,457/840,835/508
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 88,457,835
Least Common Multiple of Numerators i.e. LCM of 88,457,835 is 33580360.
GCF of Denominators means GCF of 966,840,508 as per the given fractions.
GCF of 966,840,508 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,457,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 33580360
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 88,457,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,457,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,457,835) x common factors =1 x 1 = 1
LCM(88,457,835) = ( 88 × 457 × 835 ) / 1
LCM(88,457,835) = 33580360 / 1
LCM(88,457,835) = 33580360
Lets's calculate GCF of 966,840,508
2 | 966, 840, 508 |
483, 420, 254 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33580360/2
Therefore the LCM of Fractions 88/966,457/840,835/508 is 16790180
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Greatest Common Factor
We found the factors 966,840,508 . The biggest common factor number is the GCF number.
So the greatest common factor 966,840,508 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 88/966, 457/840, 835/508?
Answer: LCM of Numerators as per given numbers 88/966, 457/840, 835/508 is
LCM of Numerators i.e. for 88,457,835 is 33580360
GCF of denominators i.e. for 966,840,508 is 2.
Thus, LCM of Fractions is 16790180.Finally, LCM of Fractions for 88/966, 457/840, 835/508 is 16790180.