Least Common Multiple of 92/552, 85/852, 729/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/552, 85/852, 729/469 quickly i.e. 5700780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/552, 85/852, 729/469 is 5700780.

LCM(92/552, 85/852, 729/469) = 5700780

LCM of 92/552, 85/852, 729/469

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 92/552,85/852,729/469

Given numbers are 92/552,85/852,729/469

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 92,85,729

Least Common Multiple of Numerators i.e. LCM of 92,85,729 is 5700780.

GCF of Denominators means GCF of 552,852,469 as per the given fractions.

GCF of 552,852,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,85,729

LCM of Fractions 92/552,85/852,729/469 is 5700780

Given numbers has no common factors except 1. So, there LCM is their product i.e 5700780

Least Common Multiple of 92,85,729 with GCF Formula

Least Common Multiple of 92,85,729 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 92,85,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,85,729) = 1

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

GCF(92,85,729) x common factors =1 x 1 = 1

LCM(92,85,729) = ( 92 × 85 × 729 ) / 1

LCM(92,85,729) = 5700780 / 1

LCM(92,85,729) = 5700780


Lets's calculate GCF of 552,852,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5700780/1

Therefore the LCM of Fractions 92/552,85/852,729/469 is 5700780

Greatest Common Factor of 552,852,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,852,469 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 552,852,469 . The biggest common factor number is the GCF number.
So the greatest common factor 552,852,469 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 92/552, 85/852, 729/469

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 92/552, 85/852, 729/469?

Answer: LCM of Numerators as per given numbers 92/552, 85/852, 729/469 is

LCM of Numerators i.e. for 92,85,729 is 5700780

GCF of denominators i.e. for 552,852,469 is 1.

Thus, LCM of Fractions is 5700780.Finally, LCM of Fractions for 92/552, 85/852, 729/469 is 5700780.