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LCM of 398, 848, 966, 437

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


Find the LCM of 398, 848, 966, 437 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 398, 848, 966, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,848,966,437

Given numbers are 398,848,966,437

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

The LCM of 398,848,966,437 is 1548637104.

Find LCM of 398,848,966,437 with Prime Factorization


2 398, 848, 966, 437
23 199, 424, 483, 437
199, 424, 21, 19

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

2 x 23 x 199 x 424 x 21 x 19 = 1548637104

Therefore, the lowest common multiple of 398,848,966,437 is 1548637104.

LCM Formula to Find Lowest Common Multiple of 398,848,966,437

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.

398 x 848 x 966 x 437 = 142474613568

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.

398 : 1, 2, 199, 398

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,848,966,437, is 1.

Now, the common factors can be found like this.

398:2x 199

848:2x 2x 2x 2x 53

966:2x 3x 7x 23

437:19x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 142474613568/(1x92)

LCM = 142474613568/92

LCM = 1548637104

Thus, we can understand that the LCM of 398,848,966,437 is 1548637104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 848, 966, 437

1. What is the LCM of 398, 848, 966, 437?

Answer: LCM of 398, 848, 966, 437 is 1548637104.

2. How to calculate the LCM of 398, 848, 966, 437?

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 398, 848, 966, 437.

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}.