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LCM of 957, 186, 601, 457

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


Find the LCM of 957, 186, 601, 457 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 957, 186, 601, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 957,186,601,457

Given numbers are 957,186,601,457

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

The LCM of 957,186,601,457 is 16296498438.

Find LCM of 957,186,601,457 with Prime Factorization


3 957, 186, 601, 457
319, 62, 601, 457

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

3 x 319 x 62 x 601 x 457 = 16296498438

Therefore, the lowest common multiple of 957,186,601,457 is 16296498438.

LCM Formula to Find Lowest Common Multiple of 957,186,601,457

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.

957 x 186 x 601 x 457 = 48889495314

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.

957 : 1, 3, 11, 29, 33, 87, 319, 957

186 : 1, 2, 3, 6, 31, 62, 93, 186

601 : 1, 601

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,186,601,457, is 1.

Now, the common factors can be found like this.

957:3x 11x 29

186:2x 3x 31

601:601

457:457

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

3 = 3

Therefore, the value for common factors is 3.

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 = 48889495314/(1x3)

LCM = 48889495314/3

LCM = 16296498438

Thus, we can understand that the LCM of 957,186,601,457 is 16296498438.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 957, 186, 601, 457

1. What is the LCM of 957, 186, 601, 457?

Answer: LCM of 957, 186, 601, 457 is 16296498438.

2. How to calculate the LCM of 957, 186, 601, 457?

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 957, 186, 601, 457.

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}.