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LCM of 149, 369, 669, 639

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


Find the LCM of 149, 369, 669, 639 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 149, 369, 669, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 149,369,669,639

Given numbers are 149,369,669,639

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

The LCM of 149,369,669,639 is 870514173.

Find LCM of 149,369,669,639 with Prime Factorization


3 149, 369, 669, 639
3 149, 123, 223, 213
149, 41, 223, 71

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

3 x 3 x 149 x 41 x 223 x 71 = 870514173

Therefore, the lowest common multiple of 149,369,669,639 is 870514173.

LCM Formula to Find Lowest Common Multiple of 149,369,669,639

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.

149 x 369 x 669 x 639 = 23503882671

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.

149 : 1, 149

369 : 1, 3, 9, 41, 123, 369

669 : 1, 3, 223, 669

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,369,669,639, is 1.

Now, the common factors can be found like this.

149:149

369:3x 3x 41

669:3x 223

639:3x 3x 71

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 23503882671/(1x27)

LCM = 23503882671/27

LCM = 870514173

Thus, we can understand that the LCM of 149,369,669,639 is 870514173.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 149, 369, 669, 639

1. What is the LCM of 149, 369, 669, 639?

Answer: LCM of 149, 369, 669, 639 is 870514173.

2. How to calculate the LCM of 149, 369, 669, 639?

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 149, 369, 669, 639.

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}.