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LCM of 437, 526, 956, 368

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


Find the LCM of 437, 526, 956, 368 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, 526, 956, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,526,956,368

Given numbers are 437,526,956,368

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

The LCM of 437,526,956,368 is 439496144.

Find LCM of 437,526,956,368 with Prime Factorization


2 437, 526, 956, 368
2 437, 263, 478, 184
23 437, 263, 239, 92
19, 263, 239, 4

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

2 x 2 x 23 x 19 x 263 x 239 x 4 = 439496144

Therefore, the lowest common multiple of 437,526,956,368 is 439496144.

LCM Formula to Find Lowest Common Multiple of 437,526,956,368

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 526 x 956 x 368 = 80867290496

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

526 : 1, 2, 263, 526

956 : 1, 2, 4, 239, 478, 956

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,526,956,368, is 1.

Now, the common factors can be found like this.

437:19x 23

526:2x 263

956:2x 2x 239

368:2x 2x 2x 2x 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 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 80867290496/(1x184)

LCM = 80867290496/184

LCM = 439496144

Thus, we can understand that the LCM of 437,526,956,368 is 439496144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 526, 956, 368

1. What is the LCM of 437, 526, 956, 368?

Answer: LCM of 437, 526, 956, 368 is 439496144.

2. How to calculate the LCM of 437, 526, 956, 368?

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, 526, 956, 368.

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}.