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LCM of 754, 986, 437, 468

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


Find the LCM of 754, 986, 437, 468 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 754, 986, 437, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,986,437,468

Given numbers are 754,986,437,468

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

The LCM of 754,986,437,468 is 100826388.

Find LCM of 754,986,437,468 with Prime Factorization


2 754, 986, 437, 468
13 377, 493, 437, 234
29 29, 493, 437, 18
1, 17, 437, 18

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

2 x 13 x 29 x 1 x 17 x 437 x 18 = 100826388

Therefore, the lowest common multiple of 754,986,437,468 is 100826388.

LCM Formula to Find Lowest Common Multiple of 754,986,437,468

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.

754 x 986 x 437 x 468 = 152046193104

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

986 : 1, 2, 17, 29, 34, 58, 493, 986

437 : 1, 19, 23, 437

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,986,437,468, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

986:2x 17x 29

437:19x 23

468:2x 2x 3x 3x 13

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 13x 29 = 1508

Therefore, the value for common factors is 1508.

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 = 152046193104/(1x1508)

LCM = 152046193104/1508

LCM = 100826388

Thus, we can understand that the LCM of 754,986,437,468 is 100826388.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 986, 437, 468

1. What is the LCM of 754, 986, 437, 468?

Answer: LCM of 754, 986, 437, 468 is 100826388.

2. How to calculate the LCM of 754, 986, 437, 468?

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 754, 986, 437, 468.

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}.