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LCM of 784, 504, 361, 761

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


Find the LCM of 784, 504, 361, 761 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 784, 504, 361, 761. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 784,504,361,761

Given numbers are 784,504,361,761

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

The LCM of 784,504,361,761 is 1938431376.

Find LCM of 784,504,361,761 with Prime Factorization


2 784, 504, 361, 761
2 392, 252, 361, 761
2 196, 126, 361, 761
7 98, 63, 361, 761
14, 9, 361, 761

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

2 x 2 x 2 x 7 x 14 x 9 x 361 x 761 = 1938431376

Therefore, the lowest common multiple of 784,504,361,761 is 1938431376.

LCM Formula to Find Lowest Common Multiple of 784,504,361,761

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.

784 x 504 x 361 x 761 = 108552157056

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

361 : 1, 19, 361

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,504,361,761, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

504:2x 2x 2x 3x 3x 7

361:19x 19

761:761

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 7 = 56

Therefore, the value for common factors is 56.

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 = 108552157056/(1x56)

LCM = 108552157056/56

LCM = 1938431376

Thus, we can understand that the LCM of 784,504,361,761 is 1938431376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 784, 504, 361, 761

1. What is the LCM of 784, 504, 361, 761?

Answer: LCM of 784, 504, 361, 761 is 1938431376.

2. How to calculate the LCM of 784, 504, 361, 761?

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 784, 504, 361, 761.

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}.