Least Common Multiple of 84/47, 170/49, 695/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/47, 170/49, 695/368 quickly i.e. 992460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/47, 170/49, 695/368 is 992460.

LCM(84/47, 170/49, 695/368) = 992460

LCM of 84/47, 170/49, 695/368

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 84/47,170/49,695/368

Given numbers are 84/47,170/49,695/368

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 84,170,695

Least Common Multiple of Numerators i.e. LCM of 84,170,695 is 992460.

GCF of Denominators means GCF of 47,49,368 as per the given fractions.

GCF of 47,49,368 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,170,695

LCM of Fractions 84/47,170/49,695/368 is 992460

2 84, 170, 695
5 42, 85, 695
42, 17, 139

∴ So the LCM of the given numbers is 2 x 5 x 42 x 17 x 139 = 992460

Least Common Multiple of 84,170,695 with GCF Formula

Least Common Multiple of 84,170,695 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 84,170,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,170,695) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(84,170,695) x common factors =1 x 10 = 10

LCM(84,170,695) = ( 84 × 170 × 695 ) / 10

LCM(84,170,695) = 9924600 / 10

LCM(84,170,695) = 992460


Lets's calculate GCF of 47,49,368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 992460/1

Therefore the LCM of Fractions 84/47,170/49,695/368 is 992460

Greatest Common Factor of 47,49,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,49,368 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 47,49,368 . The biggest common factor number is the GCF number.
So the greatest common factor 47,49,368 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 84/47, 170/49, 695/368

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 84/47, 170/49, 695/368?

Answer: LCM of Numerators as per given numbers 84/47, 170/49, 695/368 is

LCM of Numerators i.e. for 84,170,695 is 992460

GCF of denominators i.e. for 47,49,368 is 1.

Thus, LCM of Fractions is 992460.Finally, LCM of Fractions for 84/47, 170/49, 695/368 is 992460.