Least Common Multiple of 381/88, 107/16, 560/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/88, 107/16, 560/746 quickly i.e. 11414760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/88, 107/16, 560/746 is 11414760.

LCM(381/88, 107/16, 560/746) = 11414760

LCM of 381/88, 107/16, 560/746

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 381/88,107/16,560/746

Given numbers are 381/88,107/16,560/746

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 381,107,560

Least Common Multiple of Numerators i.e. LCM of 381,107,560 is 22829520.

GCF of Denominators means GCF of 88,16,746 as per the given fractions.

GCF of 88,16,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,107,560

LCM of Fractions 381/88,107/16,560/746 is 11414760

Given numbers has no common factors except 1. So, there LCM is their product i.e 22829520

Least Common Multiple of 381,107,560 with GCF Formula

Least Common Multiple of 381,107,560 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 381,107,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,107,560) = 1

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

GCF(381,107,560) x common factors =1 x 1 = 1

LCM(381,107,560) = ( 381 × 107 × 560 ) / 1

LCM(381,107,560) = 22829520 / 1

LCM(381,107,560) = 22829520


Lets's calculate GCF of 88,16,746

2 88, 16, 746
44, 8, 373

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22829520/2

Therefore the LCM of Fractions 381/88,107/16,560/746 is 11414760

Greatest Common Factor of 88,16,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,16,746 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 88,16,746 . The biggest common factor number is the GCF number.
So the greatest common factor 88,16,746 is 2.


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 381/88, 107/16, 560/746

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 381/88, 107/16, 560/746?

Answer: LCM of Numerators as per given numbers 381/88, 107/16, 560/746 is

LCM of Numerators i.e. for 381,107,560 is 22829520

GCF of denominators i.e. for 88,16,746 is 2.

Thus, LCM of Fractions is 11414760.Finally, LCM of Fractions for 381/88, 107/16, 560/746 is 11414760.