Least Common Multiple of 3554/988, 6328/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3554/988, 6328/504 quickly i.e. 2811214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3554/988, 6328/504 is 2811214.

LCM(3554/988, 6328/504) = 2811214

LCM of 3554/988, 6328/504

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 3554/988,6328/504

Given numbers are 3554/988,6328/504

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 3554,6328

Least Common Multiple of Numerators i.e. LCM of 3554,6328 is 11244856.

GCF of Denominators means GCF of 988,504 as per the given fractions.

GCF of 988,504 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3554,6328

LCM of Fractions 3554/988,6328/504 is 2811214

2 3554, 6328
1777, 3164

∴ So the LCM of the given numbers is 2 x 1777 x 3164 = 11244856

Least Common Multiple of 3554,6328 with GCF Formula

Least Common Multiple of 3554,6328 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 3554,6328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3554,6328) = 2

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

GCF(3554,6328) x common factors =2 x 1 = 2

LCM(3554,6328) = ( 3554 × 6328 ) / 2

LCM(3554,6328) = 22489712 / 2

LCM(3554,6328) = 11244856


Lets's calculate GCF of 988,504

2 988, 504
2 494, 252
247, 126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11244856/4

Therefore the LCM of Fractions 3554/988,6328/504 is 2811214

Greatest Common Factor of 988,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,504 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 988,504 . The biggest common factor number is the GCF number.
So the greatest common factor 988,504 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 3554/988, 6328/504

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 3554/988, 6328/504?

Answer: LCM of Numerators as per given numbers 3554/988, 6328/504 is

LCM of Numerators i.e. for 3554,6328 is 11244856

GCF of denominators i.e. for 988,504 is 4.

Thus, LCM of Fractions is 2811214.Finally, LCM of Fractions for 3554/988, 6328/504 is 2811214.