Least Common Multiple of 150/84, 1498/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/84, 1498/523 quickly i.e. 112350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/84, 1498/523 is 112350.

LCM(150/84, 1498/523) = 112350

LCM of 150/84, 1498/523

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 150/84,1498/523

Given numbers are 150/84,1498/523

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 150,1498

Least Common Multiple of Numerators i.e. LCM of 150,1498 is 112350.

GCF of Denominators means GCF of 84,523 as per the given fractions.

GCF of 84,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,1498

LCM of Fractions 150/84,1498/523 is 112350

2 150, 1498
75, 749

∴ So the LCM of the given numbers is 2 x 75 x 749 = 112350

Least Common Multiple of 150,1498 with GCF Formula

Least Common Multiple of 150,1498 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 150,1498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,1498) = 2

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

GCF(150,1498) x common factors =2 x 1 = 2

LCM(150,1498) = ( 150 × 1498 ) / 2

LCM(150,1498) = 224700 / 2

LCM(150,1498) = 112350


Lets's calculate GCF of 84,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112350/1

Therefore the LCM of Fractions 150/84,1498/523 is 112350

Greatest Common Factor of 84,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,523 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 84,523 . The biggest common factor number is the GCF number.
So the greatest common factor 84,523 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 150/84, 1498/523

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 150/84, 1498/523?

Answer: LCM of Numerators as per given numbers 150/84, 1498/523 is

LCM of Numerators i.e. for 150,1498 is 112350

GCF of denominators i.e. for 84,523 is 1.

Thus, LCM of Fractions is 112350.Finally, LCM of Fractions for 150/84, 1498/523 is 112350.