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LCM of 254, 300, 362, 349, 543

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 254, 300, 362, 349, 543 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 254, 300, 362, 349, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,300,362,349,543

Given numbers are 254,300,362,349,543

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 254,300,362,349,543 is 2406738900.

Find LCM of 254,300,362,349,543 with Prime Factorization


2 254, 300, 362, 349, 543
3 127, 150, 181, 349, 543
181 127, 50, 181, 349, 181
127, 50, 1, 349, 1

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 181 x 127 x 50 x 1 x 349 x 1 = 2406738900

Therefore, the lowest common multiple of 254,300,362,349,543 is 2406738900.

LCM Formula to Find Lowest Common Multiple of 254,300,362,349,543

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

254 x 300 x 362 x 349 x 543 = 5227436890800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

254 : 1, 2, 127, 254

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

362 : 1, 2, 181, 362

349 : 1, 349

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,300,362,349,543, is 1.

Now, the common factors can be found like this.

254:2x 127

300:2x 2x 3x 5x 5

362:2x 181

349:349

543:3x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 181 = 2172

Therefore, the value for common factors is 2172.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5227436890800/(1x2172)

LCM = 5227436890800/2172

LCM = 2406738900

Thus, we can understand that the LCM of 254,300,362,349,543 is 2406738900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 300, 362, 349, 543

1. What is the LCM of 254, 300, 362, 349, 543?

Answer: LCM of 254, 300, 362, 349, 543 is 2406738900.

2. How to calculate the LCM of 254, 300, 362, 349, 543?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 254, 300, 362, 349, 543.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.