Least Common Multiple of 87/661, 34/896, 674/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/661, 34/896, 674/323 quickly i.e. 996846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/661, 34/896, 674/323 is 996846.

LCM(87/661, 34/896, 674/323) = 996846

LCM of 87/661, 34/896, 674/323

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 87/661,34/896,674/323

Given numbers are 87/661,34/896,674/323

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 87,34,674

Least Common Multiple of Numerators i.e. LCM of 87,34,674 is 996846.

GCF of Denominators means GCF of 661,896,323 as per the given fractions.

GCF of 661,896,323 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,34,674

LCM of Fractions 87/661,34/896,674/323 is 996846

2 87, 34, 674
87, 17, 337

∴ So the LCM of the given numbers is 2 x 87 x 17 x 337 = 996846

Least Common Multiple of 87,34,674 with GCF Formula

Least Common Multiple of 87,34,674 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 87,34,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,34,674) = 1

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

GCF(87,34,674) x common factors =1 x 2 = 2

LCM(87,34,674) = ( 87 × 34 × 674 ) / 2

LCM(87,34,674) = 1993692 / 2

LCM(87,34,674) = 996846


Lets's calculate GCF of 661,896,323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996846/1

Therefore the LCM of Fractions 87/661,34/896,674/323 is 996846

Greatest Common Factor of 661,896,323 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,896,323 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Greatest Common Factor

We found the factors 661,896,323 . The biggest common factor number is the GCF number.
So the greatest common factor 661,896,323 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 87/661, 34/896, 674/323

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 87/661, 34/896, 674/323?

Answer: LCM of Numerators as per given numbers 87/661, 34/896, 674/323 is

LCM of Numerators i.e. for 87,34,674 is 996846

GCF of denominators i.e. for 661,896,323 is 1.

Thus, LCM of Fractions is 996846.Finally, LCM of Fractions for 87/661, 34/896, 674/323 is 996846.