Least Common Multiple of 10/387, 562/503, 748/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/387, 562/503, 748/217 quickly i.e. 1050940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/387, 562/503, 748/217 is 1050940.

LCM(10/387, 562/503, 748/217) = 1050940

LCM of 10/387, 562/503, 748/217

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 10/387,562/503,748/217

Given numbers are 10/387,562/503,748/217

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 10,562,748

Least Common Multiple of Numerators i.e. LCM of 10,562,748 is 1050940.

GCF of Denominators means GCF of 387,503,217 as per the given fractions.

GCF of 387,503,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,562,748

LCM of Fractions 10/387,562/503,748/217 is 1050940

2 10, 562, 748
5, 281, 374

∴ So the LCM of the given numbers is 2 x 5 x 281 x 374 = 1050940

Least Common Multiple of 10,562,748 with GCF Formula

Least Common Multiple of 10,562,748 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 10,562,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,562,748) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,562,748) x common factors =2 x 2 = 4

LCM(10,562,748) = ( 10 × 562 × 748 ) / 4

LCM(10,562,748) = 4203760 / 4

LCM(10,562,748) = 1050940


Lets's calculate GCF of 387,503,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1050940/1

Therefore the LCM of Fractions 10/387,562/503,748/217 is 1050940

Greatest Common Factor of 387,503,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,503,217 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 387,503,217 . The biggest common factor number is the GCF number.
So the greatest common factor 387,503,217 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 10/387, 562/503, 748/217

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 10/387, 562/503, 748/217?

Answer: LCM of Numerators as per given numbers 10/387, 562/503, 748/217 is

LCM of Numerators i.e. for 10,562,748 is 1050940

GCF of denominators i.e. for 387,503,217 is 1.

Thus, LCM of Fractions is 1050940.Finally, LCM of Fractions for 10/387, 562/503, 748/217 is 1050940.