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LCM of 510, 846, 972, 528, 104

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


Find the LCM of 510, 846, 972, 528, 104 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 510, 846, 972, 528, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 510,846,972,528,104

Given numbers are 510,846,972,528,104

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

The LCM of 510,846,972,528,104 is 2221156080.

Find LCM of 510,846,972,528,104 with Prime Factorization


2 510, 846, 972, 528, 104
2 255, 423, 486, 264, 52
2 255, 423, 243, 132, 26
3 255, 423, 243, 66, 13
3 85, 141, 81, 22, 13
85, 47, 27, 22, 13

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

2 x 2 x 2 x 3 x 3 x 85 x 47 x 27 x 22 x 13 = 2221156080

Therefore, the lowest common multiple of 510,846,972,528,104 is 2221156080.

LCM Formula to Find Lowest Common Multiple of 510,846,972,528,104

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.

510 x 846 x 972 x 528 x 104 = 23028946237440

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

104 : 1, 2, 4, 8, 13, 26, 52, 104

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,846,972,528,104, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

846:2x 3x 3x 47

972:2x 2x 3x 3x 3x 3x 3

528:2x 2x 2x 2x 3x 11

104:2x 2x 2x 13

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 3x 3x 3x 3 = 5184

Therefore, the value for common factors is 5184.

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 = 23028946237440/(2x5184)

LCM = 23028946237440/10368

LCM = 2221156080

Thus, we can understand that the LCM of 510,846,972,528,104 is 2221156080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 510, 846, 972, 528, 104

1. What is the LCM of 510, 846, 972, 528, 104?

Answer: LCM of 510, 846, 972, 528, 104 is 2221156080.

2. How to calculate the LCM of 510, 846, 972, 528, 104?

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 510, 846, 972, 528, 104.

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}.