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LCM of 460, 210, 168, 358

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


Find the LCM of 460, 210, 168, 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 460, 210, 168, 358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 460,210,168,358

Given numbers are 460,210,168,358

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

The LCM of 460,210,168,358 is 3458280.

Find LCM of 460,210,168,358 with Prime Factorization


2 460, 210, 168, 358
2 230, 105, 84, 179
3 115, 105, 42, 179
5 115, 35, 14, 179
7 23, 7, 14, 179
23, 1, 2, 179

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

2 x 2 x 3 x 5 x 7 x 23 x 1 x 2 x 179 = 3458280

Therefore, the lowest common multiple of 460,210,168,358 is 3458280.

LCM Formula to Find Lowest Common Multiple of 460,210,168,358

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.

460 x 210 x 168 x 358 = 5809910400

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

358 : 1, 2, 179, 358

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,210,168,358, is 2.

Now, the common factors can be found like this.

460:2x 2x 5x 23

210:2x 3x 5x 7

168:2x 2x 2x 3x 7

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 3x 5x 7 = 840

Therefore, the value for common factors is 840.

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 = 5809910400/(2x840)

LCM = 5809910400/1680

LCM = 3458280

Thus, we can understand that the LCM of 460,210,168,358 is 3458280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 460, 210, 168, 358

1. What is the LCM of 460, 210, 168, 358?

Answer: LCM of 460, 210, 168, 358 is 3458280.

2. How to calculate the LCM of 460, 210, 168, 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 460, 210, 168, 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}.