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LCM of 356, 278, 584, 770

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


Find the LCM of 356, 278, 584, 770 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 356, 278, 584, 770. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 356,278,584,770

Given numbers are 356,278,584,770

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

The LCM of 356,278,584,770 is 2781495640.

Find LCM of 356,278,584,770 with Prime Factorization


2 356, 278, 584, 770
2 178, 139, 292, 385
89, 139, 146, 385

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

2 x 2 x 89 x 139 x 146 x 385 = 2781495640

Therefore, the lowest common multiple of 356,278,584,770 is 2781495640.

LCM Formula to Find Lowest Common Multiple of 356,278,584,770

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.

356 x 278 x 584 x 770 = 44503930240

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.

356 : 1, 2, 4, 89, 178, 356

278 : 1, 2, 139, 278

584 : 1, 2, 4, 8, 73, 146, 292, 584

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,278,584,770, is 2.

Now, the common factors can be found like this.

356:2x 2x 89

278:2x 139

584:2x 2x 2x 73

770:2x 5x 7x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 44503930240/(2x8)

LCM = 44503930240/16

LCM = 2781495640

Thus, we can understand that the LCM of 356,278,584,770 is 2781495640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 356, 278, 584, 770

1. What is the LCM of 356, 278, 584, 770?

Answer: LCM of 356, 278, 584, 770 is 2781495640.

2. How to calculate the LCM of 356, 278, 584, 770?

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 356, 278, 584, 770.

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}.