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LCM of 279, 152, 600, 342, 445

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


Find the LCM of 279, 152, 600, 342, 445 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 279, 152, 600, 342, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,152,600,342,445

Given numbers are 279,152,600,342,445

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

The LCM of 279,152,600,342,445 is 94357800.

Find LCM of 279,152,600,342,445 with Prime Factorization


2 279, 152, 600, 342, 445
2 279, 76, 300, 171, 445
2 279, 38, 150, 171, 445
3 279, 19, 75, 171, 445
3 93, 19, 25, 57, 445
5 31, 19, 25, 19, 445
19 31, 19, 5, 19, 89
31, 1, 5, 1, 89

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

2 x 2 x 2 x 3 x 3 x 5 x 19 x 31 x 1 x 5 x 1 x 89 = 94357800

Therefore, the lowest common multiple of 279,152,600,342,445 is 94357800.

LCM Formula to Find Lowest Common Multiple of 279,152,600,342,445

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.

279 x 152 x 600 x 342 x 445 = 3872444112000

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.

279 : 1, 3, 9, 31, 93, 279

152 : 1, 2, 4, 8, 19, 38, 76, 152

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,152,600,342,445, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

152:2x 2x 2x 19

600:2x 2x 2x 3x 5x 5

342:2x 3x 3x 19

445:5x 89

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 2x 2x 3x 3x 3x 5x 19 = 41040

Therefore, the value for common factors is 41040.

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 = 3872444112000/(1x41040)

LCM = 3872444112000/41040

LCM = 94357800

Thus, we can understand that the LCM of 279,152,600,342,445 is 94357800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 152, 600, 342, 445

1. What is the LCM of 279, 152, 600, 342, 445?

Answer: LCM of 279, 152, 600, 342, 445 is 94357800.

2. How to calculate the LCM of 279, 152, 600, 342, 445?

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 279, 152, 600, 342, 445.

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}.