Least Common Multiple of 150/539, 6826/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/539, 6826/490 quickly i.e. 511950/49 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/539, 6826/490 is 511950/49.

LCM(150/539, 6826/490) = 511950/49

LCM of 150/539, 6826/490

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 150/539,6826/490

Given numbers are 150/539,6826/490

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 150,6826

Least Common Multiple of Numerators i.e. LCM of 150,6826 is 511950.

GCF of Denominators means GCF of 539,490 as per the given fractions.

GCF of 539,490 is 49 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,6826

LCM of Fractions 150/539,6826/490 is 511950/49

2 150, 6826
75, 3413

∴ So the LCM of the given numbers is 2 x 75 x 3413 = 511950

Least Common Multiple of 150,6826 with GCF Formula

Least Common Multiple of 150,6826 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 150,6826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,6826) = 2

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

GCF(150,6826) x common factors =2 x 1 = 2

LCM(150,6826) = ( 150 × 6826 ) / 2

LCM(150,6826) = 1023900 / 2

LCM(150,6826) = 511950


Lets's calculate GCF of 539,490

7 539, 490
7 77, 70
11, 10

∴ So the GCF of the given numbers is 7 x 7 = 49

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511950/49

Therefore the LCM of Fractions 150/539,6826/490 is 511950/49

Greatest Common Factor of 539,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,490 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 539,490 . The biggest common factor number is the GCF number.
So the greatest common factor 539,490 is 49.


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 150/539, 6826/490

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 150/539, 6826/490?

Answer: LCM of Numerators as per given numbers 150/539, 6826/490 is

LCM of Numerators i.e. for 150,6826 is 511950

GCF of denominators i.e. for 539,490 is 49.

Thus, LCM of Fractions is 511950/49.Finally, LCM of Fractions for 150/539, 6826/490 is 511950/49.