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LCM of 350, 260, 348, 351

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


Find the LCM of 350, 260, 348, 351 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 350, 260, 348, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 350,260,348,351

Given numbers are 350,260,348,351

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

The LCM of 350,260,348,351 is 7125300.

Find LCM of 350,260,348,351 with Prime Factorization


2 350, 260, 348, 351
2 175, 130, 174, 351
3 175, 65, 87, 351
5 175, 65, 29, 117
13 35, 13, 29, 117
35, 1, 29, 9

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

2 x 2 x 3 x 5 x 13 x 35 x 1 x 29 x 9 = 7125300

Therefore, the lowest common multiple of 350,260,348,351 is 7125300.

LCM Formula to Find Lowest Common Multiple of 350,260,348,351

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.

350 x 260 x 348 x 351 = 11115468000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,260,348,351, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

260:2x 2x 5x 13

348:2x 2x 3x 29

351:3x 3x 3x 13

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 13 = 1560

Therefore, the value for common factors is 1560.

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 = 11115468000/(1x1560)

LCM = 11115468000/1560

LCM = 7125300

Thus, we can understand that the LCM of 350,260,348,351 is 7125300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 350, 260, 348, 351

1. What is the LCM of 350, 260, 348, 351?

Answer: LCM of 350, 260, 348, 351 is 7125300.

2. How to calculate the LCM of 350, 260, 348, 351?

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 350, 260, 348, 351.

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}.