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LCM of 649, 114, 609, 746

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


Find the LCM of 649, 114, 609, 746 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 649, 114, 609, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,114,609,746

Given numbers are 649,114,609,746

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

The LCM of 649,114,609,746 is 5602145934.

Find LCM of 649,114,609,746 with Prime Factorization


2 649, 114, 609, 746
3 649, 57, 609, 373
649, 19, 203, 373

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

2 x 3 x 649 x 19 x 203 x 373 = 5602145934

Therefore, the lowest common multiple of 649,114,609,746 is 5602145934.

LCM Formula to Find Lowest Common Multiple of 649,114,609,746

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.

649 x 114 x 609 x 746 = 33612875604

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.

649 : 1, 11, 59, 649

114 : 1, 2, 3, 6, 19, 38, 57, 114

609 : 1, 3, 7, 21, 29, 87, 203, 609

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,114,609,746, is 1.

Now, the common factors can be found like this.

649:11x 59

114:2x 3x 19

609:3x 7x 29

746:2x 373

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 33612875604/(1x6)

LCM = 33612875604/6

LCM = 5602145934

Thus, we can understand that the LCM of 649,114,609,746 is 5602145934.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 114, 609, 746

1. What is the LCM of 649, 114, 609, 746?

Answer: LCM of 649, 114, 609, 746 is 5602145934.

2. How to calculate the LCM of 649, 114, 609, 746?

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 649, 114, 609, 746.

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}.