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LCM of 692, 452, 416, 167

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


Find the LCM of 692, 452, 416, 167 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 692, 452, 416, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,452,416,167

Given numbers are 692,452,416,167

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

The LCM of 692,452,416,167 is 1358108128.

Find LCM of 692,452,416,167 with Prime Factorization


2 692, 452, 416, 167
2 346, 226, 208, 167
173, 113, 104, 167

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

2 x 2 x 173 x 113 x 104 x 167 = 1358108128

Therefore, the lowest common multiple of 692,452,416,167 is 1358108128.

LCM Formula to Find Lowest Common Multiple of 692,452,416,167

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.

692 x 452 x 416 x 167 = 21729730048

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.

692 : 1, 2, 4, 173, 346, 692

452 : 1, 2, 4, 113, 226, 452

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,452,416,167, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

452:2x 2x 113

416:2x 2x 2x 2x 2x 13

167:167

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 21729730048/(1x16)

LCM = 21729730048/16

LCM = 1358108128

Thus, we can understand that the LCM of 692,452,416,167 is 1358108128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 452, 416, 167

1. What is the LCM of 692, 452, 416, 167?

Answer: LCM of 692, 452, 416, 167 is 1358108128.

2. How to calculate the LCM of 692, 452, 416, 167?

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 692, 452, 416, 167.

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}.