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LCM of 61, 78, 23, 78, 523

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


Find the LCM of 61, 78, 23, 78, 523 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 61, 78, 23, 78, 523. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 61,78,23,78,523

Given numbers are 61,78,23,78,523

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

The LCM of 61,78,23,78,523 is 57233982.

Find LCM of 61,78,23,78,523 with Prime Factorization


2 61, 78, 23, 78, 523
3 61, 39, 23, 39, 523
13 61, 13, 23, 13, 523
61, 1, 23, 1, 523

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

2 x 3 x 13 x 61 x 1 x 23 x 1 x 523 = 57233982

Therefore, the lowest common multiple of 61,78,23,78,523 is 57233982.

LCM Formula to Find Lowest Common Multiple of 61,78,23,78,523

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.

61 x 78 x 23 x 78 x 523 = 4464250596

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.

61 : 1, 61

78 : 1, 2, 3, 6, 13, 26, 39, 78

23 : 1, 23

78 : 1, 2, 3, 6, 13, 26, 39, 78

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 61,78,23,78,523, is 1.

Now, the common factors can be found like this.

61:61

78:2x 3x 13

23:23

78:2x 3x 13

523:523

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 4464250596/(1x78)

LCM = 4464250596/78

LCM = 57233982

Thus, we can understand that the LCM of 61,78,23,78,523 is 57233982.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 61, 78, 23, 78, 523

1. What is the LCM of 61, 78, 23, 78, 523?

Answer: LCM of 61, 78, 23, 78, 523 is 57233982.

2. How to calculate the LCM of 61, 78, 23, 78, 523?

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 61, 78, 23, 78, 523.

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}.