Least Common Multiple of 864/208, 208/350, 910/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/208, 208/350, 910/454 quickly i.e. 196560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/208, 208/350, 910/454 is 196560.

LCM(864/208, 208/350, 910/454) = 196560

LCM of 864/208, 208/350, 910/454

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 864/208,208/350,910/454

Given numbers are 864/208,208/350,910/454

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 864,208,910

Least Common Multiple of Numerators i.e. LCM of 864,208,910 is 393120.

GCF of Denominators means GCF of 208,350,454 as per the given fractions.

GCF of 208,350,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,208,910

LCM of Fractions 864/208,208/350,910/454 is 196560

2 864, 208, 910
2 432, 104, 455
2 216, 52, 455
2 108, 26, 455
13 54, 13, 455
54, 1, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 54 x 1 x 35 = 393120

Least Common Multiple of 864,208,910 with GCF Formula

Least Common Multiple of 864,208,910 with GCF Formula

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 864,208,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,208,910) = 2

common factors(in case of two or more numbers have common factors) = 208

GCF(864,208,910) x common factors =2 x 208 = 416

LCM(864,208,910) = ( 864 × 208 × 910 ) / 416

LCM(864,208,910) = 163537920 / 416

LCM(864,208,910) = 393120


Lets's calculate GCF of 208,350,454

2 208, 350, 454
104, 175, 227

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393120/2

Therefore the LCM of Fractions 864/208,208/350,910/454 is 196560

Greatest Common Factor of 208,350,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,350,454 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 208,350,454 . The biggest common factor number is the GCF number.
So the greatest common factor 208,350,454 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 864/208, 208/350, 910/454

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 864/208, 208/350, 910/454?

Answer: LCM of Numerators as per given numbers 864/208, 208/350, 910/454 is

LCM of Numerators i.e. for 864,208,910 is 393120

GCF of denominators i.e. for 208,350,454 is 2.

Thus, LCM of Fractions is 196560.Finally, LCM of Fractions for 864/208, 208/350, 910/454 is 196560.