Least Common Multiple of 1540/842, 9600/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1540/842, 9600/554 quickly i.e. 369600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1540/842, 9600/554 is 369600.

LCM(1540/842, 9600/554) = 369600

LCM of 1540/842, 9600/554

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 1540/842,9600/554

Given numbers are 1540/842,9600/554

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 1540,9600

Least Common Multiple of Numerators i.e. LCM of 1540,9600 is 739200.

GCF of Denominators means GCF of 842,554 as per the given fractions.

GCF of 842,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1540,9600

LCM of Fractions 1540/842,9600/554 is 369600

2 1540, 9600
2 770, 4800
5 385, 2400
77, 480

∴ So the LCM of the given numbers is 2 x 2 x 5 x 77 x 480 = 739200

Least Common Multiple of 1540,9600 with GCF Formula

Least Common Multiple of 1540,9600 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 1540,9600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1540,9600) = 20

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

GCF(1540,9600) x common factors =20 x 1 = 20

LCM(1540,9600) = ( 1540 × 9600 ) / 20

LCM(1540,9600) = 14784000 / 20

LCM(1540,9600) = 739200


Lets's calculate GCF of 842,554

2 842, 554
421, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739200/2

Therefore the LCM of Fractions 1540/842,9600/554 is 369600

Greatest Common Factor of 842,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,554 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

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 842,554 . The biggest common factor number is the GCF number.
So the greatest common factor 842,554 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 1540/842, 9600/554

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 1540/842, 9600/554?

Answer: LCM of Numerators as per given numbers 1540/842, 9600/554 is

LCM of Numerators i.e. for 1540,9600 is 739200

GCF of denominators i.e. for 842,554 is 2.

Thus, LCM of Fractions is 369600.Finally, LCM of Fractions for 1540/842, 9600/554 is 369600.