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LCM of 175, 350, 357, 652

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


Find the LCM of 175, 350, 357, 652 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 175, 350, 357, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 175,350,357,652

Given numbers are 175,350,357,652

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

The LCM of 175,350,357,652 is 5819100.

Find LCM of 175,350,357,652 with Prime Factorization


2 175, 350, 357, 652
5 175, 175, 357, 326
5 35, 35, 357, 326
7 7, 7, 357, 326
1, 1, 51, 326

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

2 x 5 x 5 x 7 x 1 x 1 x 51 x 326 = 5819100

Therefore, the lowest common multiple of 175,350,357,652 is 5819100.

LCM Formula to Find Lowest Common Multiple of 175,350,357,652

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.

175 x 350 x 357 x 652 = 14256795000

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.

175 : 1, 5, 7, 25, 35, 175

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,350,357,652, is 1.

Now, the common factors can be found like this.

175:5x 5x 7

350:2x 5x 5x 7

357:3x 7x 17

652:2x 2x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5x 7x 7 = 2450

Therefore, the value for common factors is 2450.

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 = 14256795000/(1x2450)

LCM = 14256795000/2450

LCM = 5819100

Thus, we can understand that the LCM of 175,350,357,652 is 5819100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 175, 350, 357, 652

1. What is the LCM of 175, 350, 357, 652?

Answer: LCM of 175, 350, 357, 652 is 5819100.

2. How to calculate the LCM of 175, 350, 357, 652?

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 175, 350, 357, 652.

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}.