Least Common Multiple of 95/553, 310/206, 320/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/553, 310/206, 320/768 quickly i.e. 188480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/553, 310/206, 320/768 is 188480.

LCM(95/553, 310/206, 320/768) = 188480

LCM of 95/553, 310/206, 320/768

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 95/553,310/206,320/768

Given numbers are 95/553,310/206,320/768

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 95,310,320

Least Common Multiple of Numerators i.e. LCM of 95,310,320 is 188480.

GCF of Denominators means GCF of 553,206,768 as per the given fractions.

GCF of 553,206,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,310,320

LCM of Fractions 95/553,310/206,320/768 is 188480

2 95, 310, 320
5 95, 155, 160
19, 31, 32

∴ So the LCM of the given numbers is 2 x 5 x 19 x 31 x 32 = 188480

Least Common Multiple of 95,310,320 with GCF Formula

Least Common Multiple of 95,310,320 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 95,310,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,310,320) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(95,310,320) x common factors =5 x 10 = 50

LCM(95,310,320) = ( 95 × 310 × 320 ) / 50

LCM(95,310,320) = 9424000 / 50

LCM(95,310,320) = 188480


Lets's calculate GCF of 553,206,768

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188480/1

Therefore the LCM of Fractions 95/553,310/206,320/768 is 188480

Greatest Common Factor of 553,206,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,206,768 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 553,206,768 . The biggest common factor number is the GCF number.
So the greatest common factor 553,206,768 is 1.


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 95/553, 310/206, 320/768

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 95/553, 310/206, 320/768?

Answer: LCM of Numerators as per given numbers 95/553, 310/206, 320/768 is

LCM of Numerators i.e. for 95,310,320 is 188480

GCF of denominators i.e. for 553,206,768 is 1.

Thus, LCM of Fractions is 188480.Finally, LCM of Fractions for 95/553, 310/206, 320/768 is 188480.