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LCM of 6, 774, 578, 472

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


Find the LCM of 6, 774, 578, 472 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 6, 774, 578, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,774,578,472

Given numbers are 6,774,578,472

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

The LCM of 6,774,578,472 is 52789896.

Find LCM of 6,774,578,472 with Prime Factorization


2 6, 774, 578, 472
3 3, 387, 289, 236
1, 129, 289, 236

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

2 x 3 x 1 x 129 x 289 x 236 = 52789896

Therefore, the lowest common multiple of 6,774,578,472 is 52789896.

LCM Formula to Find Lowest Common Multiple of 6,774,578,472

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.

6 x 774 x 578 x 472 = 1266957504

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.

6 : 1, 2, 3, 6

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

578 : 1, 2, 17, 34, 289, 578

472 : 1, 2, 4, 8, 59, 118, 236, 472

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,774,578,472, is 2.

Now, the common factors can be found like this.

6:2x 3

774:2x 3x 3x 43

578:2x 17x 17

472:2x 2x 2x 59

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1266957504/(2x12)

LCM = 1266957504/24

LCM = 52789896

Thus, we can understand that the LCM of 6,774,578,472 is 52789896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 774, 578, 472

1. What is the LCM of 6, 774, 578, 472?

Answer: LCM of 6, 774, 578, 472 is 52789896.

2. How to calculate the LCM of 6, 774, 578, 472?

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 6, 774, 578, 472.

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}.