Least Common Multiple of 928/72, 986/7033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 928/72, 986/7033 quickly i.e. 15776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/72, 986/7033 is 15776.

LCM(928/72, 986/7033) = 15776

LCM of 928/72, 986/7033

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 928/72,986/7033

Given numbers are 928/72,986/7033

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 928,986

Least Common Multiple of Numerators i.e. LCM of 928,986 is 15776.

GCF of Denominators means GCF of 72,7033 as per the given fractions.

GCF of 72,7033 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,986

LCM of Fractions 928/72,986/7033 is 15776

2 928, 986
29 464, 493
16, 17

∴ So the LCM of the given numbers is 2 x 29 x 16 x 17 = 15776

Least Common Multiple of 928,986 with GCF Formula

Least Common Multiple of 928,986 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 928,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,986) = 58

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

GCF(928,986) x common factors =58 x 1 = 58

LCM(928,986) = ( 928 × 986 ) / 58

LCM(928,986) = 915008 / 58

LCM(928,986) = 15776


Lets's calculate GCF of 72,7033

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15776/1

Therefore the LCM of Fractions 928/72,986/7033 is 15776

Greatest Common Factor of 72,7033 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,7033 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 7033

List of positive integer factors of 7033 that divides 7033 without a remainder.

1,13,541,7033

Greatest Common Factor

We found the factors 72,7033 . The biggest common factor number is the GCF number.
So the greatest common factor 72,7033 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 928/72, 986/7033

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 928/72, 986/7033?

Answer: LCM of Numerators as per given numbers 928/72, 986/7033 is

LCM of Numerators i.e. for 928,986 is 15776

GCF of denominators i.e. for 72,7033 is 1.

Thus, LCM of Fractions is 15776.Finally, LCM of Fractions for 928/72, 986/7033 is 15776.