Least Common Multiple of 749/496, 440/347, 305/257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/496, 440/347, 305/257 quickly i.e. 20103160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/496, 440/347, 305/257 is 20103160.

LCM(749/496, 440/347, 305/257) = 20103160

LCM of 749/496, 440/347, 305/257

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 749/496,440/347,305/257

Given numbers are 749/496,440/347,305/257

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 749,440,305

Least Common Multiple of Numerators i.e. LCM of 749,440,305 is 20103160.

GCF of Denominators means GCF of 496,347,257 as per the given fractions.

GCF of 496,347,257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,440,305

LCM of Fractions 749/496,440/347,305/257 is 20103160

5 749, 440, 305
749, 88, 61

∴ So the LCM of the given numbers is 5 x 749 x 88 x 61 = 20103160

Least Common Multiple of 749,440,305 with GCF Formula

Least Common Multiple of 749,440,305 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 749,440,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,440,305) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(749,440,305) x common factors =1 x 5 = 5

LCM(749,440,305) = ( 749 × 440 × 305 ) / 5

LCM(749,440,305) = 100515800 / 5

LCM(749,440,305) = 20103160


Lets's calculate GCF of 496,347,257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20103160/1

Therefore the LCM of Fractions 749/496,440/347,305/257 is 20103160

Greatest Common Factor of 496,347,257 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,347,257 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 257

List of positive integer factors of 257 that divides 257 without a remainder.

1,257

Greatest Common Factor

We found the factors 496,347,257 . The biggest common factor number is the GCF number.
So the greatest common factor 496,347,257 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 749/496, 440/347, 305/257

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 749/496, 440/347, 305/257?

Answer: LCM of Numerators as per given numbers 749/496, 440/347, 305/257 is

LCM of Numerators i.e. for 749,440,305 is 20103160

GCF of denominators i.e. for 496,347,257 is 1.

Thus, LCM of Fractions is 20103160.Finally, LCM of Fractions for 749/496, 440/347, 305/257 is 20103160.