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LCM of 376, 526, 818, 940, 880

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


Find the LCM of 376, 526, 818, 940, 880 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 376, 526, 818, 940, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 376,526,818,940,880

Given numbers are 376,526,818,940,880

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

The LCM of 376,526,818,940,880 is 4448971120.

Find LCM of 376,526,818,940,880 with Prime Factorization


2 376, 526, 818, 940, 880
2 188, 263, 409, 470, 440
2 94, 263, 409, 235, 220
5 47, 263, 409, 235, 110
47 47, 263, 409, 47, 22
1, 263, 409, 1, 22

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

2 x 2 x 2 x 5 x 47 x 1 x 263 x 409 x 1 x 22 = 4448971120

Therefore, the lowest common multiple of 376,526,818,940,880 is 4448971120.

LCM Formula to Find Lowest Common Multiple of 376,526,818,940,880

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.

376 x 526 x 818 x 940 x 880 = 133825051289600

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

526 : 1, 2, 263, 526

818 : 1, 2, 409, 818

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,526,818,940,880, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

526:2x 263

818:2x 409

940:2x 2x 5x 47

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

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 2x 2x 2x 5x 47 = 15040

Therefore, the value for common factors is 15040.

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 = 133825051289600/(2x15040)

LCM = 133825051289600/30080

LCM = 4448971120

Thus, we can understand that the LCM of 376,526,818,940,880 is 4448971120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 376, 526, 818, 940, 880

1. What is the LCM of 376, 526, 818, 940, 880?

Answer: LCM of 376, 526, 818, 940, 880 is 4448971120.

2. How to calculate the LCM of 376, 526, 818, 940, 880?

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 376, 526, 818, 940, 880.

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}.