Least Common Multiple of 1530/331, 4610/1249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1530/331, 4610/1249 quickly i.e. 705330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1530/331, 4610/1249 is 705330.

LCM(1530/331, 4610/1249) = 705330

LCM of 1530/331, 4610/1249

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 1530/331,4610/1249

Given numbers are 1530/331,4610/1249

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 1530,4610

Least Common Multiple of Numerators i.e. LCM of 1530,4610 is 705330.

GCF of Denominators means GCF of 331,1249 as per the given fractions.

GCF of 331,1249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1530,4610

LCM of Fractions 1530/331,4610/1249 is 705330

2 1530, 4610
5 765, 2305
153, 461

∴ So the LCM of the given numbers is 2 x 5 x 153 x 461 = 705330

Least Common Multiple of 1530,4610 with GCF Formula

Least Common Multiple of 1530,4610 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 1530,4610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1530,4610) = 10

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

GCF(1530,4610) x common factors =10 x 1 = 10

LCM(1530,4610) = ( 1530 × 4610 ) / 10

LCM(1530,4610) = 7053300 / 10

LCM(1530,4610) = 705330


Lets's calculate GCF of 331,1249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 705330/1

Therefore the LCM of Fractions 1530/331,4610/1249 is 705330

Greatest Common Factor of 331,1249 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,1249 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 1249

List of positive integer factors of 1249 that divides 1249 without a remainder.

1,1249

Greatest Common Factor

We found the factors 331,1249 . The biggest common factor number is the GCF number.
So the greatest common factor 331,1249 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 1530/331, 4610/1249

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 1530/331, 4610/1249?

Answer: LCM of Numerators as per given numbers 1530/331, 4610/1249 is

LCM of Numerators i.e. for 1530,4610 is 705330

GCF of denominators i.e. for 331,1249 is 1.

Thus, LCM of Fractions is 705330.Finally, LCM of Fractions for 1530/331, 4610/1249 is 705330.