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LCM of 419, 537, 649, 385

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


Find the LCM of 419, 537, 649, 385 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 419, 537, 649, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 419,537,649,385

Given numbers are 419,537,649,385

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

The LCM of 419,537,649,385 is 5110943145.

Find LCM of 419,537,649,385 with Prime Factorization


11 419, 537, 649, 385
419, 537, 59, 35

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

11 x 419 x 537 x 59 x 35 = 5110943145

Therefore, the lowest common multiple of 419,537,649,385 is 5110943145.

LCM Formula to Find Lowest Common Multiple of 419,537,649,385

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.

419 x 537 x 649 x 385 = 56220374595

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.

419 : 1, 419

537 : 1, 3, 179, 537

649 : 1, 11, 59, 649

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,537,649,385, is 1.

Now, the common factors can be found like this.

419:419

537:3x 179

649:11x 59

385:5x 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.

11 = 11

Therefore, the value for common factors is 11.

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 = 56220374595/(1x11)

LCM = 56220374595/11

LCM = 5110943145

Thus, we can understand that the LCM of 419,537,649,385 is 5110943145.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 419, 537, 649, 385

1. What is the LCM of 419, 537, 649, 385?

Answer: LCM of 419, 537, 649, 385 is 5110943145.

2. How to calculate the LCM of 419, 537, 649, 385?

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 419, 537, 649, 385.

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}.