Least Common Multiple of 57/649, 74/140, 355/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/649, 74/140, 355/978 quickly i.e. 1497390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/649, 74/140, 355/978 is 1497390.

LCM(57/649, 74/140, 355/978) = 1497390

LCM of 57/649, 74/140, 355/978

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 57/649,74/140,355/978

Given numbers are 57/649,74/140,355/978

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 57,74,355

Least Common Multiple of Numerators i.e. LCM of 57,74,355 is 1497390.

GCF of Denominators means GCF of 649,140,978 as per the given fractions.

GCF of 649,140,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,74,355

LCM of Fractions 57/649,74/140,355/978 is 1497390

Given numbers has no common factors except 1. So, there LCM is their product i.e 1497390

Least Common Multiple of 57,74,355 with GCF Formula

Least Common Multiple of 57,74,355 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 57,74,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,74,355) = 1

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

GCF(57,74,355) x common factors =1 x 1 = 1

LCM(57,74,355) = ( 57 × 74 × 355 ) / 1

LCM(57,74,355) = 1497390 / 1

LCM(57,74,355) = 1497390


Lets's calculate GCF of 649,140,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1497390/1

Therefore the LCM of Fractions 57/649,74/140,355/978 is 1497390

Greatest Common Factor of 649,140,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,140,978 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 649,140,978 . The biggest common factor number is the GCF number.
So the greatest common factor 649,140,978 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 57/649, 74/140, 355/978

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 57/649, 74/140, 355/978?

Answer: LCM of Numerators as per given numbers 57/649, 74/140, 355/978 is

LCM of Numerators i.e. for 57,74,355 is 1497390

GCF of denominators i.e. for 649,140,978 is 1.

Thus, LCM of Fractions is 1497390.Finally, LCM of Fractions for 57/649, 74/140, 355/978 is 1497390.