Least Common Multiple of 1500/388, 1262/7491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1500/388, 1262/7491 quickly i.e. 946500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1500/388, 1262/7491 is 946500.

LCM(1500/388, 1262/7491) = 946500

LCM of 1500/388, 1262/7491

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 1500/388,1262/7491

Given numbers are 1500/388,1262/7491

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 1500,1262

Least Common Multiple of Numerators i.e. LCM of 1500,1262 is 946500.

GCF of Denominators means GCF of 388,7491 as per the given fractions.

GCF of 388,7491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1500,1262

LCM of Fractions 1500/388,1262/7491 is 946500

2 1500, 1262
750, 631

∴ So the LCM of the given numbers is 2 x 750 x 631 = 946500

Least Common Multiple of 1500,1262 with GCF Formula

Least Common Multiple of 1500,1262 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 1500,1262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1500,1262) = 2

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

GCF(1500,1262) x common factors =2 x 1 = 2

LCM(1500,1262) = ( 1500 × 1262 ) / 2

LCM(1500,1262) = 1893000 / 2

LCM(1500,1262) = 946500


Lets's calculate GCF of 388,7491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 946500/1

Therefore the LCM of Fractions 1500/388,1262/7491 is 946500

Greatest Common Factor of 388,7491 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,7491 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 7491

List of positive integer factors of 7491 that divides 7491 without a remainder.

1,3,11,33,227,681,2497,7491

Greatest Common Factor

We found the factors 388,7491 . The biggest common factor number is the GCF number.
So the greatest common factor 388,7491 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 1500/388, 1262/7491

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 1500/388, 1262/7491?

Answer: LCM of Numerators as per given numbers 1500/388, 1262/7491 is

LCM of Numerators i.e. for 1500,1262 is 946500

GCF of denominators i.e. for 388,7491 is 1.

Thus, LCM of Fractions is 946500.Finally, LCM of Fractions for 1500/388, 1262/7491 is 946500.