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LCM of 103, 691, 824, 267, 149

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


Find the LCM of 103, 691, 824, 267, 149 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 103, 691, 824, 267, 149. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 103,691,824,267,149

Given numbers are 103,691,824,267,149

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

The LCM of 103,691,824,267,149 is 22651803672.

Find LCM of 103,691,824,267,149 with Prime Factorization


103 103, 691, 824, 267, 149
1, 691, 8, 267, 149

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

103 x 1 x 691 x 8 x 267 x 149 = 22651803672

Therefore, the lowest common multiple of 103,691,824,267,149 is 22651803672.

LCM Formula to Find Lowest Common Multiple of 103,691,824,267,149

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.

103 x 691 x 824 x 267 x 149 = 2333135778216

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.

103 : 1, 103

691 : 1, 691

824 : 1, 2, 4, 8, 103, 206, 412, 824

267 : 1, 3, 89, 267

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,691,824,267,149, is 1.

Now, the common factors can be found like this.

103:103

691:691

824:2x 2x 2x 103

267:3x 89

149:149

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

103 = 103

Therefore, the value for common factors is 103.

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 = 2333135778216/(1x103)

LCM = 2333135778216/103

LCM = 22651803672

Thus, we can understand that the LCM of 103,691,824,267,149 is 22651803672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 103, 691, 824, 267, 149

1. What is the LCM of 103, 691, 824, 267, 149?

Answer: LCM of 103, 691, 824, 267, 149 is 22651803672.

2. How to calculate the LCM of 103, 691, 824, 267, 149?

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 103, 691, 824, 267, 149.

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}.