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LCM of 437, 604, 935, 785, 278

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


Find the LCM of 437, 604, 935, 785, 278 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 437, 604, 935, 785, 278. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,604,935,785,278

Given numbers are 437,604,935,785,278

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

The LCM of 437,604,935,785,278 is 5385728285740.

Find LCM of 437,604,935,785,278 with Prime Factorization


2 437, 604, 935, 785, 278
5 437, 302, 935, 785, 139
437, 302, 187, 157, 139

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

2 x 5 x 437 x 302 x 187 x 157 x 139 = 5385728285740

Therefore, the lowest common multiple of 437,604,935,785,278 is 5385728285740.

LCM Formula to Find Lowest Common Multiple of 437,604,935,785,278

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.

437 x 604 x 935 x 785 x 278 = 53857282857400

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.

437 : 1, 19, 23, 437

604 : 1, 2, 4, 151, 302, 604

935 : 1, 5, 11, 17, 55, 85, 187, 935

785 : 1, 5, 157, 785

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,604,935,785,278, is 1.

Now, the common factors can be found like this.

437:19x 23

604:2x 2x 151

935:5x 11x 17

785:5x 157

278:2x 139

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 53857282857400/(1x10)

LCM = 53857282857400/10

LCM = 5385728285740

Thus, we can understand that the LCM of 437,604,935,785,278 is 5385728285740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 604, 935, 785, 278

1. What is the LCM of 437, 604, 935, 785, 278?

Answer: LCM of 437, 604, 935, 785, 278 is 5385728285740.

2. How to calculate the LCM of 437, 604, 935, 785, 278?

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 437, 604, 935, 785, 278.

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}.