Least Common Multiple of 49/375, 55/499, 531/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/375, 55/499, 531/726 quickly i.e. 1431045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/375, 55/499, 531/726 is 1431045.

LCM(49/375, 55/499, 531/726) = 1431045

LCM of 49/375, 55/499, 531/726

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 49/375,55/499,531/726

Given numbers are 49/375,55/499,531/726

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 49,55,531

Least Common Multiple of Numerators i.e. LCM of 49,55,531 is 1431045.

GCF of Denominators means GCF of 375,499,726 as per the given fractions.

GCF of 375,499,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,55,531

LCM of Fractions 49/375,55/499,531/726 is 1431045

Given numbers has no common factors except 1. So, there LCM is their product i.e 1431045

Least Common Multiple of 49,55,531 with GCF Formula

Least Common Multiple of 49,55,531 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 49,55,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,55,531) = 1

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

GCF(49,55,531) x common factors =1 x 1 = 1

LCM(49,55,531) = ( 49 × 55 × 531 ) / 1

LCM(49,55,531) = 1431045 / 1

LCM(49,55,531) = 1431045


Lets's calculate GCF of 375,499,726

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431045/1

Therefore the LCM of Fractions 49/375,55/499,531/726 is 1431045

Greatest Common Factor of 375,499,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,499,726 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 375,499,726 . The biggest common factor number is the GCF number.
So the greatest common factor 375,499,726 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 49/375, 55/499, 531/726

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 49/375, 55/499, 531/726?

Answer: LCM of Numerators as per given numbers 49/375, 55/499, 531/726 is

LCM of Numerators i.e. for 49,55,531 is 1431045

GCF of denominators i.e. for 375,499,726 is 1.

Thus, LCM of Fractions is 1431045.Finally, LCM of Fractions for 49/375, 55/499, 531/726 is 1431045.