Least Common Multiple of 3176/684, 3488/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3176/684, 3488/808 quickly i.e. 346184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3176/684, 3488/808 is 346184.

LCM(3176/684, 3488/808) = 346184

LCM of 3176/684, 3488/808

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 3176/684,3488/808

Given numbers are 3176/684,3488/808

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 3176,3488

Least Common Multiple of Numerators i.e. LCM of 3176,3488 is 1384736.

GCF of Denominators means GCF of 684,808 as per the given fractions.

GCF of 684,808 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3176,3488

LCM of Fractions 3176/684,3488/808 is 346184

2 3176, 3488
2 1588, 1744
2 794, 872
397, 436

∴ So the LCM of the given numbers is 2 x 2 x 2 x 397 x 436 = 1384736

Least Common Multiple of 3176,3488 with GCF Formula

Least Common Multiple of 3176,3488 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 3176,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3176,3488) = 8

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

GCF(3176,3488) x common factors =8 x 1 = 8

LCM(3176,3488) = ( 3176 × 3488 ) / 8

LCM(3176,3488) = 11077888 / 8

LCM(3176,3488) = 1384736


Lets's calculate GCF of 684,808

2 684, 808
2 342, 404
171, 202

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1384736/4

Therefore the LCM of Fractions 3176/684,3488/808 is 346184

Greatest Common Factor of 684,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,808 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 684,808 . The biggest common factor number is the GCF number.
So the greatest common factor 684,808 is 4.


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 3176/684, 3488/808

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 3176/684, 3488/808?

Answer: LCM of Numerators as per given numbers 3176/684, 3488/808 is

LCM of Numerators i.e. for 3176,3488 is 1384736

GCF of denominators i.e. for 684,808 is 4.

Thus, LCM of Fractions is 346184.Finally, LCM of Fractions for 3176/684, 3488/808 is 346184.