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LCM of 880, 957, 540, 638

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


Find the LCM of 880, 957, 540, 638 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 880, 957, 540, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,957,540,638

Given numbers are 880,957,540,638

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

The LCM of 880,957,540,638 is 689040.

Find LCM of 880,957,540,638 with Prime Factorization


2 880, 957, 540, 638
2 440, 957, 270, 319
3 220, 957, 135, 319
5 220, 319, 45, 319
11 44, 319, 9, 319
29 4, 29, 9, 29
4, 1, 9, 1

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

2 x 2 x 3 x 5 x 11 x 29 x 4 x 1 x 9 x 1 = 689040

Therefore, the lowest common multiple of 880,957,540,638 is 689040.

LCM Formula to Find Lowest Common Multiple of 880,957,540,638

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.

880 x 957 x 540 x 638 = 290140963200

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

957 : 1, 3, 11, 29, 33, 87, 319, 957

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,957,540,638, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

957:3x 11x 29

540:2x 2x 3x 3x 3x 5

638:2x 11x 29

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 3x 5x 11x 11x 29 = 421080

Therefore, the value for common factors is 421080.

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 = 290140963200/(1x421080)

LCM = 290140963200/421080

LCM = 689040

Thus, we can understand that the LCM of 880,957,540,638 is 689040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 957, 540, 638

1. What is the LCM of 880, 957, 540, 638?

Answer: LCM of 880, 957, 540, 638 is 689040.

2. How to calculate the LCM of 880, 957, 540, 638?

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 880, 957, 540, 638.

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}.