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LCM of 772, 896, 248, 473

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


Find the LCM of 772, 896, 248, 473 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 772, 896, 248, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,896,248,473

Given numbers are 772,896,248,473

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

The LCM of 772,896,248,473 is 2535643264.

Find LCM of 772,896,248,473 with Prime Factorization


2 772, 896, 248, 473
2 386, 448, 124, 473
2 193, 224, 62, 473
193, 112, 31, 473

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

2 x 2 x 2 x 193 x 112 x 31 x 473 = 2535643264

Therefore, the lowest common multiple of 772,896,248,473 is 2535643264.

LCM Formula to Find Lowest Common Multiple of 772,896,248,473

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.

772 x 896 x 248 x 473 = 81140584448

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.

772 : 1, 2, 4, 193, 386, 772

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

248 : 1, 2, 4, 8, 31, 62, 124, 248

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,896,248,473, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

896:2x 2x 2x 2x 2x 2x 2x 7

248:2x 2x 2x 31

473:11x 43

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 2 = 32

Therefore, the value for common factors is 32.

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 = 81140584448/(1x32)

LCM = 81140584448/32

LCM = 2535643264

Thus, we can understand that the LCM of 772,896,248,473 is 2535643264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 896, 248, 473

1. What is the LCM of 772, 896, 248, 473?

Answer: LCM of 772, 896, 248, 473 is 2535643264.

2. How to calculate the LCM of 772, 896, 248, 473?

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 772, 896, 248, 473.

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}.