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LCM of 699, 649, 988, 214, 545

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


Find the LCM of 699, 649, 988, 214, 545 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 699, 649, 988, 214, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 699,649,988,214,545

Given numbers are 699,649,988,214,545

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

The LCM of 699,649,988,214,545 is 26137202168220.

Find LCM of 699,649,988,214,545 with Prime Factorization


2 699, 649, 988, 214, 545
699, 649, 494, 107, 545

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

2 x 699 x 649 x 494 x 107 x 545 = 26137202168220

Therefore, the lowest common multiple of 699,649,988,214,545 is 26137202168220.

LCM Formula to Find Lowest Common Multiple of 699,649,988,214,545

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.

699 x 649 x 988 x 214 x 545 = 52274404336440

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.

699 : 1, 3, 233, 699

649 : 1, 11, 59, 649

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

214 : 1, 2, 107, 214

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,649,988,214,545, is 1.

Now, the common factors can be found like this.

699:3x 233

649:11x 59

988:2x 2x 13x 19

214:2x 107

545:5x 109

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

2 = 2

Therefore, the value for common factors is 2.

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 = 52274404336440/(1x2)

LCM = 52274404336440/2

LCM = 26137202168220

Thus, we can understand that the LCM of 699,649,988,214,545 is 26137202168220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 699, 649, 988, 214, 545

1. What is the LCM of 699, 649, 988, 214, 545?

Answer: LCM of 699, 649, 988, 214, 545 is 26137202168220.

2. How to calculate the LCM of 699, 649, 988, 214, 545?

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 699, 649, 988, 214, 545.

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}.