Least Common Multiple of 62/219, 88/162, 489/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/219, 88/162, 489/707 quickly i.e. 1333992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/219, 88/162, 489/707 is 1333992.

LCM(62/219, 88/162, 489/707) = 1333992

LCM of 62/219, 88/162, 489/707

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 62/219,88/162,489/707

Given numbers are 62/219,88/162,489/707

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 62,88,489

Least Common Multiple of Numerators i.e. LCM of 62,88,489 is 1333992.

GCF of Denominators means GCF of 219,162,707 as per the given fractions.

GCF of 219,162,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,88,489

LCM of Fractions 62/219,88/162,489/707 is 1333992

2 62, 88, 489
31, 44, 489

∴ So the LCM of the given numbers is 2 x 31 x 44 x 489 = 1333992

Least Common Multiple of 62,88,489 with GCF Formula

Least Common Multiple of 62,88,489 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 62,88,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,88,489) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,88,489) x common factors =1 x 2 = 2

LCM(62,88,489) = ( 62 × 88 × 489 ) / 2

LCM(62,88,489) = 2667984 / 2

LCM(62,88,489) = 1333992


Lets's calculate GCF of 219,162,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1333992/1

Therefore the LCM of Fractions 62/219,88/162,489/707 is 1333992

Greatest Common Factor of 219,162,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,162,707 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 219,162,707 . The biggest common factor number is the GCF number.
So the greatest common factor 219,162,707 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 62/219, 88/162, 489/707

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 62/219, 88/162, 489/707?

Answer: LCM of Numerators as per given numbers 62/219, 88/162, 489/707 is

LCM of Numerators i.e. for 62,88,489 is 1333992

GCF of denominators i.e. for 219,162,707 is 1.

Thus, LCM of Fractions is 1333992.Finally, LCM of Fractions for 62/219, 88/162, 489/707 is 1333992.