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LCM of 162, 335, 776, 716, 358

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


Find the LCM of 162, 335, 776, 716, 358 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 162, 335, 776, 716, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,335,776,716,358

Given numbers are 162,335,776,716,358

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

The LCM of 162,335,776,716,358 is 3769160040.

Find LCM of 162,335,776,716,358 with Prime Factorization


2 162, 335, 776, 716, 358
2 81, 335, 388, 358, 179
179 81, 335, 194, 179, 179
81, 335, 194, 1, 1

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

2 x 2 x 179 x 81 x 335 x 194 x 1 x 1 = 3769160040

Therefore, the lowest common multiple of 162,335,776,716,358 is 3769160040.

LCM Formula to Find Lowest Common Multiple of 162,335,776,716,358

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.

162 x 335 x 776 x 716 x 358 = 10794874354560

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.

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

335 : 1, 5, 67, 335

776 : 1, 2, 4, 8, 97, 194, 388, 776

716 : 1, 2, 4, 179, 358, 716

358 : 1, 2, 179, 358

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,335,776,716,358, is 1.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

335:5x 67

776:2x 2x 2x 97

716:2x 2x 179

358:2x 179

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 179 = 2864

Therefore, the value for common factors is 2864.

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 = 10794874354560/(1x2864)

LCM = 10794874354560/2864

LCM = 3769160040

Thus, we can understand that the LCM of 162,335,776,716,358 is 3769160040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 162, 335, 776, 716, 358

1. What is the LCM of 162, 335, 776, 716, 358?

Answer: LCM of 162, 335, 776, 716, 358 is 3769160040.

2. How to calculate the LCM of 162, 335, 776, 716, 358?

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 162, 335, 776, 716, 358.

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}.