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LCM of 895, 840, 816, 540

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


Find the LCM of 895, 840, 816, 540 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 895, 840, 816, 540. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,840,816,540

Given numbers are 895,840,816,540

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

The LCM of 895,840,816,540 is 46010160.

Find LCM of 895,840,816,540 with Prime Factorization


2 895, 840, 816, 540
2 895, 420, 408, 270
2 895, 210, 204, 135
3 895, 105, 102, 135
5 895, 35, 34, 45
179, 7, 34, 9

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

2 x 2 x 2 x 3 x 5 x 179 x 7 x 34 x 9 = 46010160

Therefore, the lowest common multiple of 895,840,816,540 is 46010160.

LCM Formula to Find Lowest Common Multiple of 895,840,816,540

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.

895 x 840 x 816 x 540 = 331273152000

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.

895 : 1, 5, 179, 895

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,840,816,540, is 1.

Now, the common factors can be found like this.

895:5x 179

840:2x 2x 2x 3x 5x 7

816:2x 2x 2x 2x 3x 17

540:2x 2x 3x 3x 3x 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 2x 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 331273152000/(1x7200)

LCM = 331273152000/7200

LCM = 46010160

Thus, we can understand that the LCM of 895,840,816,540 is 46010160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 840, 816, 540

1. What is the LCM of 895, 840, 816, 540?

Answer: LCM of 895, 840, 816, 540 is 46010160.

2. How to calculate the LCM of 895, 840, 816, 540?

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 895, 840, 816, 540.

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}.