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LCM of 357, 561, 626, 376

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


Find the LCM of 357, 561, 626, 376 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 357, 561, 626, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,561,626,376

Given numbers are 357,561,626,376

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

The LCM of 357,561,626,376 is 462160776.

Find LCM of 357,561,626,376 with Prime Factorization


2 357, 561, 626, 376
3 357, 561, 313, 188
17 119, 187, 313, 188
7, 11, 313, 188

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

2 x 3 x 17 x 7 x 11 x 313 x 188 = 462160776

Therefore, the lowest common multiple of 357,561,626,376 is 462160776.

LCM Formula to Find Lowest Common Multiple of 357,561,626,376

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.

357 x 561 x 626 x 376 = 47140399152

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.

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

626 : 1, 2, 313, 626

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,561,626,376, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

561:3x 11x 17

626:2x 313

376:2x 2x 2x 47

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 47140399152/(1x102)

LCM = 47140399152/102

LCM = 462160776

Thus, we can understand that the LCM of 357,561,626,376 is 462160776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 561, 626, 376

1. What is the LCM of 357, 561, 626, 376?

Answer: LCM of 357, 561, 626, 376 is 462160776.

2. How to calculate the LCM of 357, 561, 626, 376?

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 357, 561, 626, 376.

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}.