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LCM of 880, 507, 781, 182

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


Find the LCM of 880, 507, 781, 182 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, 507, 781, 182. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,507,781,182

Given numbers are 880,507,781,182

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

The LCM of 880,507,781,182 is 221741520.

Find LCM of 880,507,781,182 with Prime Factorization


2 880, 507, 781, 182
11 440, 507, 781, 91
13 40, 507, 71, 91
40, 39, 71, 7

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

2 x 11 x 13 x 40 x 39 x 71 x 7 = 221741520

Therefore, the lowest common multiple of 880,507,781,182 is 221741520.

LCM Formula to Find Lowest Common Multiple of 880,507,781,182

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 507 x 781 x 182 = 63418074720

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

507 : 1, 3, 13, 39, 169, 507

781 : 1, 11, 71, 781

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,507,781,182, is 1.

Now, the common factors can be found like this.

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

507:3x 13x 13

781:11x 71

182:2x 7x 13

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

2x 11x 13 = 286

Therefore, the value for common factors is 286.

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 = 63418074720/(1x286)

LCM = 63418074720/286

LCM = 221741520

Thus, we can understand that the LCM of 880,507,781,182 is 221741520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 507, 781, 182

1. What is the LCM of 880, 507, 781, 182?

Answer: LCM of 880, 507, 781, 182 is 221741520.

2. How to calculate the LCM of 880, 507, 781, 182?

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, 507, 781, 182.

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}.