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LCM of 667, 126, 640, 611

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


Find the LCM of 667, 126, 640, 611 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 667, 126, 640, 611. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,126,640,611

Given numbers are 667,126,640,611

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

The LCM of 667,126,640,611 is 16431891840.

Find LCM of 667,126,640,611 with Prime Factorization


2 667, 126, 640, 611
667, 63, 320, 611

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

2 x 667 x 63 x 320 x 611 = 16431891840

Therefore, the lowest common multiple of 667,126,640,611 is 16431891840.

LCM Formula to Find Lowest Common Multiple of 667,126,640,611

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.

667 x 126 x 640 x 611 = 32863783680

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.

667 : 1, 23, 29, 667

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

611 : 1, 13, 47, 611

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,126,640,611, is 1.

Now, the common factors can be found like this.

667:23x 29

126:2x 3x 3x 7

640:2x 2x 2x 2x 2x 2x 2x 5

611:13x 47

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 = 32863783680/(1x2)

LCM = 32863783680/2

LCM = 16431891840

Thus, we can understand that the LCM of 667,126,640,611 is 16431891840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 126, 640, 611

1. What is the LCM of 667, 126, 640, 611?

Answer: LCM of 667, 126, 640, 611 is 16431891840.

2. How to calculate the LCM of 667, 126, 640, 611?

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 667, 126, 640, 611.

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}.