Least Common Multiple of 695/84, 646/99, 489/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 695/84, 646/99, 489/106 quickly i.e. 219546330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/84, 646/99, 489/106 is 219546330.

LCM(695/84, 646/99, 489/106) = 219546330

LCM of 695/84, 646/99, 489/106

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 695/84,646/99,489/106

Given numbers are 695/84,646/99,489/106

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 695,646,489

Least Common Multiple of Numerators i.e. LCM of 695,646,489 is 219546330.

GCF of Denominators means GCF of 84,99,106 as per the given fractions.

GCF of 84,99,106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,646,489

LCM of Fractions 695/84,646/99,489/106 is 219546330

Given numbers has no common factors except 1. So, there LCM is their product i.e 219546330

Least Common Multiple of 695,646,489 with GCF Formula

Least Common Multiple of 695,646,489 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 695,646,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,646,489) = 1

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

GCF(695,646,489) x common factors =1 x 1 = 1

LCM(695,646,489) = ( 695 × 646 × 489 ) / 1

LCM(695,646,489) = 219546330 / 1

LCM(695,646,489) = 219546330


Lets's calculate GCF of 84,99,106

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219546330/1

Therefore the LCM of Fractions 695/84,646/99,489/106 is 219546330

Greatest Common Factor of 84,99,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,99,106 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 84,99,106 . The biggest common factor number is the GCF number.
So the greatest common factor 84,99,106 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 695/84, 646/99, 489/106

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 695/84, 646/99, 489/106?

Answer: LCM of Numerators as per given numbers 695/84, 646/99, 489/106 is

LCM of Numerators i.e. for 695,646,489 is 219546330

GCF of denominators i.e. for 84,99,106 is 1.

Thus, LCM of Fractions is 219546330.Finally, LCM of Fractions for 695/84, 646/99, 489/106 is 219546330.