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LCM of 675, 868, 319, 400

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


Find the LCM of 675, 868, 319, 400 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 675, 868, 319, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 675,868,319,400

Given numbers are 675,868,319,400

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

The LCM of 675,868,319,400 is 747608400.

Find LCM of 675,868,319,400 with Prime Factorization


2 675, 868, 319, 400
2 675, 434, 319, 200
5 675, 217, 319, 100
5 135, 217, 319, 20
27, 217, 319, 4

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

2 x 2 x 5 x 5 x 27 x 217 x 319 x 4 = 747608400

Therefore, the lowest common multiple of 675,868,319,400 is 747608400.

LCM Formula to Find Lowest Common Multiple of 675,868,319,400

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.

675 x 868 x 319 x 400 = 74760840000

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

319 : 1, 11, 29, 319

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,868,319,400, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

868:2x 2x 7x 31

319:11x 29

400:2x 2x 2x 2x 5x 5

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 74760840000/(1x100)

LCM = 74760840000/100

LCM = 747608400

Thus, we can understand that the LCM of 675,868,319,400 is 747608400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 675, 868, 319, 400

1. What is the LCM of 675, 868, 319, 400?

Answer: LCM of 675, 868, 319, 400 is 747608400.

2. How to calculate the LCM of 675, 868, 319, 400?

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 675, 868, 319, 400.

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}.