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LCM of 577, 545, 432, 109

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


Find the LCM of 577, 545, 432, 109 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 577, 545, 432, 109. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,545,432,109

Given numbers are 577,545,432,109

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

The LCM of 577,545,432,109 is 135848880.

Find LCM of 577,545,432,109 with Prime Factorization


109 577, 545, 432, 109
577, 5, 432, 1

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

109 x 577 x 5 x 432 x 1 = 135848880

Therefore, the lowest common multiple of 577,545,432,109 is 135848880.

LCM Formula to Find Lowest Common Multiple of 577,545,432,109

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.

577 x 545 x 432 x 109 = 14807527920

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.

577 : 1, 577

545 : 1, 5, 109, 545

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

109 : 1, 109

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,545,432,109, is 1.

Now, the common factors can be found like this.

577:577

545:5x 109

432:2x 2x 2x 2x 3x 3x 3

109:109

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

109 = 109

Therefore, the value for common factors is 109.

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 = 14807527920/(1x109)

LCM = 14807527920/109

LCM = 135848880

Thus, we can understand that the LCM of 577,545,432,109 is 135848880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 545, 432, 109

1. What is the LCM of 577, 545, 432, 109?

Answer: LCM of 577, 545, 432, 109 is 135848880.

2. How to calculate the LCM of 577, 545, 432, 109?

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 577, 545, 432, 109.

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}.