Least Common Multiple of 664/55, 578/15, 892/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 664/55, 578/15, 892/871 quickly i.e. 42792808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 664/55, 578/15, 892/871 is 42792808.

LCM(664/55, 578/15, 892/871) = 42792808

LCM of 664/55, 578/15, 892/871

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 664/55,578/15,892/871

Given numbers are 664/55,578/15,892/871

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 664,578,892

Least Common Multiple of Numerators i.e. LCM of 664,578,892 is 42792808.

GCF of Denominators means GCF of 55,15,871 as per the given fractions.

GCF of 55,15,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 664,578,892

LCM of Fractions 664/55,578/15,892/871 is 42792808

2 664, 578, 892
2 332, 289, 446
166, 289, 223

∴ So the LCM of the given numbers is 2 x 2 x 166 x 289 x 223 = 42792808

Least Common Multiple of 664,578,892 with GCF Formula

Least Common Multiple of 664,578,892 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 664,578,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,578,892) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(664,578,892) x common factors =2 x 4 = 8

LCM(664,578,892) = ( 664 × 578 × 892 ) / 8

LCM(664,578,892) = 342342464 / 8

LCM(664,578,892) = 42792808


Lets's calculate GCF of 55,15,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42792808/1

Therefore the LCM of Fractions 664/55,578/15,892/871 is 42792808

Greatest Common Factor of 55,15,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,15,871 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 55,15,871 . The biggest common factor number is the GCF number.
So the greatest common factor 55,15,871 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 664/55, 578/15, 892/871

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 664/55, 578/15, 892/871?

Answer: LCM of Numerators as per given numbers 664/55, 578/15, 892/871 is

LCM of Numerators i.e. for 664,578,892 is 42792808

GCF of denominators i.e. for 55,15,871 is 1.

Thus, LCM of Fractions is 42792808.Finally, LCM of Fractions for 664/55, 578/15, 892/871 is 42792808.