Least Common Multiple of 553/646, 941/960, 149/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/646, 941/960, 149/317 quickly i.e. 77535577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/646, 941/960, 149/317 is 77535577.

LCM(553/646, 941/960, 149/317) = 77535577

LCM of 553/646, 941/960, 149/317

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 553/646,941/960,149/317

Given numbers are 553/646,941/960,149/317

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 553,941,149

Least Common Multiple of Numerators i.e. LCM of 553,941,149 is 77535577.

GCF of Denominators means GCF of 646,960,317 as per the given fractions.

GCF of 646,960,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,941,149

LCM of Fractions 553/646,941/960,149/317 is 77535577

Given numbers has no common factors except 1. So, there LCM is their product i.e 77535577

Least Common Multiple of 553,941,149 with GCF Formula

Least Common Multiple of 553,941,149 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 553,941,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,941,149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(553,941,149) x common factors =1 x 1 = 1

LCM(553,941,149) = ( 553 × 941 × 149 ) / 1

LCM(553,941,149) = 77535577 / 1

LCM(553,941,149) = 77535577


Lets's calculate GCF of 646,960,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77535577/1

Therefore the LCM of Fractions 553/646,941/960,149/317 is 77535577

Greatest Common Factor of 646,960,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,960,317 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 646,960,317 . The biggest common factor number is the GCF number.
So the greatest common factor 646,960,317 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 553/646, 941/960, 149/317

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 553/646, 941/960, 149/317?

Answer: LCM of Numerators as per given numbers 553/646, 941/960, 149/317 is

LCM of Numerators i.e. for 553,941,149 is 77535577

GCF of denominators i.e. for 646,960,317 is 1.

Thus, LCM of Fractions is 77535577.Finally, LCM of Fractions for 553/646, 941/960, 149/317 is 77535577.