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LCM of 352, 402, 460, 110, 193

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


Find the LCM of 352, 402, 460, 110, 193 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 352, 402, 460, 110, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,402,460,110,193

Given numbers are 352,402,460,110,193

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

The LCM of 352,402,460,110,193 is 1570340640.

Find LCM of 352,402,460,110,193 with Prime Factorization


2 352, 402, 460, 110, 193
2 176, 201, 230, 55, 193
5 88, 201, 115, 55, 193
11 88, 201, 23, 11, 193
8, 201, 23, 1, 193

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

2 x 2 x 5 x 11 x 8 x 201 x 23 x 1 x 193 = 1570340640

Therefore, the lowest common multiple of 352,402,460,110,193 is 1570340640.

LCM Formula to Find Lowest Common Multiple of 352,402,460,110,193

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.

352 x 402 x 460 x 110 x 193 = 1381899763200

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,402,460,110,193, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

402:2x 3x 67

460:2x 2x 5x 23

110:2x 5x 11

193:193

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 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 1381899763200/(1x880)

LCM = 1381899763200/880

LCM = 1570340640

Thus, we can understand that the LCM of 352,402,460,110,193 is 1570340640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 402, 460, 110, 193

1. What is the LCM of 352, 402, 460, 110, 193?

Answer: LCM of 352, 402, 460, 110, 193 is 1570340640.

2. How to calculate the LCM of 352, 402, 460, 110, 193?

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 352, 402, 460, 110, 193.

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}.