Least Common Multiple of 8/274, 68/800, 35/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/274, 68/800, 35/648 quickly i.e. 2380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/274, 68/800, 35/648 is 2380.

LCM(8/274, 68/800, 35/648) = 2380

LCM of 8/274, 68/800, 35/648

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 8/274,68/800,35/648

Given numbers are 8/274,68/800,35/648

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 8,68,35

Least Common Multiple of Numerators i.e. LCM of 8,68,35 is 4760.

GCF of Denominators means GCF of 274,800,648 as per the given fractions.

GCF of 274,800,648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,68,35

LCM of Fractions 8/274,68/800,35/648 is 2380

2 8, 68, 35
2 4, 34, 35
2, 17, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 35 = 4760

Least Common Multiple of 8,68,35 with GCF Formula

Least Common Multiple of 8,68,35 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 8,68,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,68,35) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(8,68,35) x common factors =1 x 4 = 4

LCM(8,68,35) = ( 8 × 68 × 35 ) / 4

LCM(8,68,35) = 19040 / 4

LCM(8,68,35) = 4760


Lets's calculate GCF of 274,800,648

2 274, 800, 648
137, 400, 324

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4760/2

Therefore the LCM of Fractions 8/274,68/800,35/648 is 2380

Greatest Common Factor of 274,800,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,800,648 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 274,800,648 . The biggest common factor number is the GCF number.
So the greatest common factor 274,800,648 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 8/274, 68/800, 35/648

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 8/274, 68/800, 35/648?

Answer: LCM of Numerators as per given numbers 8/274, 68/800, 35/648 is

LCM of Numerators i.e. for 8,68,35 is 4760

GCF of denominators i.e. for 274,800,648 is 2.

Thus, LCM of Fractions is 2380.Finally, LCM of Fractions for 8/274, 68/800, 35/648 is 2380.