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LCM of 786, 351, 980, 486, 948

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


Find the LCM of 786, 351, 980, 486, 948 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 786, 351, 980, 486, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 786,351,980,486,948

Given numbers are 786,351,980,486,948

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

The LCM of 786,351,980,486,948 is 32038641180.

Find LCM of 786,351,980,486,948 with Prime Factorization


2 786, 351, 980, 486, 948
2 393, 351, 490, 243, 474
3 393, 351, 245, 243, 237
3 131, 117, 245, 81, 79
3 131, 39, 245, 27, 79
131, 13, 245, 9, 79

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

2 x 2 x 3 x 3 x 3 x 131 x 13 x 245 x 9 x 79 = 32038641180

Therefore, the lowest common multiple of 786,351,980,486,948 is 32038641180.

LCM Formula to Find Lowest Common Multiple of 786,351,980,486,948

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.

786 x 351 x 980 x 486 x 948 = 124566236907840

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

351 : 1, 3, 9, 13, 27, 39, 117, 351

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,351,980,486,948, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

351:3x 3x 3x 13

980:2x 2x 5x 7x 7

486:2x 3x 3x 3x 3x 3

948:2x 2x 3x 79

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 124566236907840/(1x3888)

LCM = 124566236907840/3888

LCM = 32038641180

Thus, we can understand that the LCM of 786,351,980,486,948 is 32038641180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 786, 351, 980, 486, 948

1. What is the LCM of 786, 351, 980, 486, 948?

Answer: LCM of 786, 351, 980, 486, 948 is 32038641180.

2. How to calculate the LCM of 786, 351, 980, 486, 948?

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 786, 351, 980, 486, 948.

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}.