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LCM of 148, 745, 623, 623

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


Find the LCM of 148, 745, 623, 623 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 148, 745, 623, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,745,623,623

Given numbers are 148,745,623,623

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

The LCM of 148,745,623,623 is 68691980.

Find LCM of 148,745,623,623 with Prime Factorization


7 148, 745, 623, 623
89 148, 745, 89, 89
148, 745, 1, 1

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

7 x 89 x 148 x 745 x 1 x 1 = 68691980

Therefore, the lowest common multiple of 148,745,623,623 is 68691980.

LCM Formula to Find Lowest Common Multiple of 148,745,623,623

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.

148 x 745 x 623 x 623 = 42795103540

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.

148 : 1, 2, 4, 37, 74, 148

745 : 1, 5, 149, 745

623 : 1, 7, 89, 623

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,745,623,623, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

745:5x 149

623:7x 89

623:7x 89

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

7x 89 = 623

Therefore, the value for common factors is 623.

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 = 42795103540/(1x623)

LCM = 42795103540/623

LCM = 68691980

Thus, we can understand that the LCM of 148,745,623,623 is 68691980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 745, 623, 623

1. What is the LCM of 148, 745, 623, 623?

Answer: LCM of 148, 745, 623, 623 is 68691980.

2. How to calculate the LCM of 148, 745, 623, 623?

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 148, 745, 623, 623.

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}.