Least Common Multiple of 63/684, 412/332, 672/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/684, 412/332, 672/554 quickly i.e. 103824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/684, 412/332, 672/554 is 103824.

LCM(63/684, 412/332, 672/554) = 103824

LCM of 63/684, 412/332, 672/554

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 63/684,412/332,672/554

Given numbers are 63/684,412/332,672/554

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 63,412,672

Least Common Multiple of Numerators i.e. LCM of 63,412,672 is 207648.

GCF of Denominators means GCF of 684,332,554 as per the given fractions.

GCF of 684,332,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,412,672

LCM of Fractions 63/684,412/332,672/554 is 103824

2 63, 412, 672
2 63, 206, 336
3 63, 103, 168
7 21, 103, 56
3, 103, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 103 x 8 = 207648

Least Common Multiple of 63,412,672 with GCF Formula

Least Common Multiple of 63,412,672 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 63,412,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,412,672) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(63,412,672) x common factors =1 x 84 = 84

LCM(63,412,672) = ( 63 × 412 × 672 ) / 84

LCM(63,412,672) = 17442432 / 84

LCM(63,412,672) = 207648


Lets's calculate GCF of 684,332,554

2 684, 332, 554
342, 166, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207648/2

Therefore the LCM of Fractions 63/684,412/332,672/554 is 103824

Greatest Common Factor of 684,332,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,332,554 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 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 684,332,554 . The biggest common factor number is the GCF number.
So the greatest common factor 684,332,554 is 2.


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 63/684, 412/332, 672/554

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 63/684, 412/332, 672/554?

Answer: LCM of Numerators as per given numbers 63/684, 412/332, 672/554 is

LCM of Numerators i.e. for 63,412,672 is 207648

GCF of denominators i.e. for 684,332,554 is 2.

Thus, LCM of Fractions is 103824.Finally, LCM of Fractions for 63/684, 412/332, 672/554 is 103824.