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LCM of 169, 782, 688, 387

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


Find the LCM of 169, 782, 688, 387 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 169, 782, 688, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,782,688,387

Given numbers are 169,782,688,387

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

The LCM of 169,782,688,387 is 409161168.

Find LCM of 169,782,688,387 with Prime Factorization


2 169, 782, 688, 387
43 169, 391, 344, 387
169, 391, 8, 9

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

2 x 43 x 169 x 391 x 8 x 9 = 409161168

Therefore, the lowest common multiple of 169,782,688,387 is 409161168.

LCM Formula to Find Lowest Common Multiple of 169,782,688,387

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.

169 x 782 x 688 x 387 = 35187860448

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.

169 : 1, 13, 169

782 : 1, 2, 17, 23, 34, 46, 391, 782

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,782,688,387, is 1.

Now, the common factors can be found like this.

169:13x 13

782:2x 17x 23

688:2x 2x 2x 2x 43

387:3x 3x 43

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

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 35187860448/(1x86)

LCM = 35187860448/86

LCM = 409161168

Thus, we can understand that the LCM of 169,782,688,387 is 409161168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 782, 688, 387

1. What is the LCM of 169, 782, 688, 387?

Answer: LCM of 169, 782, 688, 387 is 409161168.

2. How to calculate the LCM of 169, 782, 688, 387?

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 169, 782, 688, 387.

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}.