Least Common Multiple of 576/786, 889/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/786, 889/537 quickly i.e. 170688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/786, 889/537 is 170688.

LCM(576/786, 889/537) = 170688

LCM of 576/786, 889/537

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 576/786,889/537

Given numbers are 576/786,889/537

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 576,889

Least Common Multiple of Numerators i.e. LCM of 576,889 is 512064.

GCF of Denominators means GCF of 786,537 as per the given fractions.

GCF of 786,537 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,889

LCM of Fractions 576/786,889/537 is 170688

Given numbers has no common factors except 1. So, there LCM is their product i.e 512064

Least Common Multiple of 576,889 with GCF Formula

Least Common Multiple of 576,889 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 576,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,889) = 1

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

GCF(576,889) x common factors =1 x 1 = 1

LCM(576,889) = ( 576 × 889 ) / 1

LCM(576,889) = 512064 / 1

LCM(576,889) = 512064


Lets's calculate GCF of 786,537

3 786, 537
262, 179

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 512064/3

Therefore the LCM of Fractions 576/786,889/537 is 170688

Greatest Common Factor of 786,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,537 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 786,537 . The biggest common factor number is the GCF number.
So the greatest common factor 786,537 is 3.


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 576/786, 889/537

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 576/786, 889/537?

Answer: LCM of Numerators as per given numbers 576/786, 889/537 is

LCM of Numerators i.e. for 576,889 is 512064

GCF of denominators i.e. for 786,537 is 3.

Thus, LCM of Fractions is 170688.Finally, LCM of Fractions for 576/786, 889/537 is 170688.