Least Common Multiple of 87/554, 3480/9934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/554, 3480/9934 quickly i.e. 1740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/554, 3480/9934 is 1740.

LCM(87/554, 3480/9934) = 1740

LCM of 87/554, 3480/9934

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 87/554,3480/9934

Given numbers are 87/554,3480/9934

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 87,3480

Least Common Multiple of Numerators i.e. LCM of 87,3480 is 3480.

GCF of Denominators means GCF of 554,9934 as per the given fractions.

GCF of 554,9934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,3480

LCM of Fractions 87/554,3480/9934 is 1740

3 87, 3480
29 29, 1160
1, 40

∴ So the LCM of the given numbers is 3 x 29 x 1 x 40 = 3480

Least Common Multiple of 87,3480 with GCF Formula

Least Common Multiple of 87,3480 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 87,3480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,3480) = 87

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

GCF(87,3480) x common factors =87 x 1 = 87

LCM(87,3480) = ( 87 × 3480 ) / 87

LCM(87,3480) = 302760 / 87

LCM(87,3480) = 3480


Lets's calculate GCF of 554,9934

2 554, 9934
277, 4967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3480/2

Therefore the LCM of Fractions 87/554,3480/9934 is 1740

Greatest Common Factor of 554,9934 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,9934 By Matching Biggest Common Factor Method

Factors of 554

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

1,2,277,554

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1,2,4967,9934

Greatest Common Factor

We found the factors 554,9934 . The biggest common factor number is the GCF number.
So the greatest common factor 554,9934 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 87/554, 3480/9934

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 87/554, 3480/9934?

Answer: LCM of Numerators as per given numbers 87/554, 3480/9934 is

LCM of Numerators i.e. for 87,3480 is 3480

GCF of denominators i.e. for 554,9934 is 2.

Thus, LCM of Fractions is 1740.Finally, LCM of Fractions for 87/554, 3480/9934 is 1740.