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LCM of 437, 546, 644, 834, 750

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


Find the LCM of 437, 546, 644, 834, 750 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, 546, 644, 834, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,546,644,834,750

Given numbers are 437,546,644,834,750

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

The LCM of 437,546,644,834,750 is 8291419500.

Find LCM of 437,546,644,834,750 with Prime Factorization


2 437, 546, 644, 834, 750
3 437, 273, 322, 417, 375
7 437, 91, 322, 139, 125
23 437, 13, 46, 139, 125
19, 13, 2, 139, 125

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

2 x 3 x 7 x 23 x 19 x 13 x 2 x 139 x 125 = 8291419500

Therefore, the lowest common multiple of 437,546,644,834,750 is 8291419500.

LCM Formula to Find Lowest Common Multiple of 437,546,644,834,750

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 546 x 644 x 834 x 750 = 96114134844000

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

834 : 1, 2, 3, 6, 139, 278, 417, 834

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,546,644,834,750, is 1.

Now, the common factors can be found like this.

437:19x 23

546:2x 3x 7x 13

644:2x 2x 7x 23

834:2x 3x 139

750:2x 3x 5x 5x 5

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 3x 3x 7x 23 = 11592

Therefore, the value for common factors is 11592.

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 = 96114134844000/(1x11592)

LCM = 96114134844000/11592

LCM = 8291419500

Thus, we can understand that the LCM of 437,546,644,834,750 is 8291419500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 546, 644, 834, 750

1. What is the LCM of 437, 546, 644, 834, 750?

Answer: LCM of 437, 546, 644, 834, 750 is 8291419500.

2. How to calculate the LCM of 437, 546, 644, 834, 750?

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, 546, 644, 834, 750.

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}.