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LCM of 430, 349, 740, 603, 179

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


Find the LCM of 430, 349, 740, 603, 179 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 430, 349, 740, 603, 179. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 430,349,740,603,179

Given numbers are 430,349,740,603,179

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

The LCM of 430,349,740,603,179 is 1198659813660.

Find LCM of 430,349,740,603,179 with Prime Factorization


2 430, 349, 740, 603, 179
5 215, 349, 370, 603, 179
43, 349, 74, 603, 179

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

2 x 5 x 43 x 349 x 74 x 603 x 179 = 1198659813660

Therefore, the lowest common multiple of 430,349,740,603,179 is 1198659813660.

LCM Formula to Find Lowest Common Multiple of 430,349,740,603,179

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.

430 x 349 x 740 x 603 x 179 = 11986598136600

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

349 : 1, 349

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

603 : 1, 3, 9, 67, 201, 603

179 : 1, 179

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,349,740,603,179, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

349:349

740:2x 2x 5x 37

603:3x 3x 67

179:179

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 11986598136600/(1x10)

LCM = 11986598136600/10

LCM = 1198659813660

Thus, we can understand that the LCM of 430,349,740,603,179 is 1198659813660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 430, 349, 740, 603, 179

1. What is the LCM of 430, 349, 740, 603, 179?

Answer: LCM of 430, 349, 740, 603, 179 is 1198659813660.

2. How to calculate the LCM of 430, 349, 740, 603, 179?

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 430, 349, 740, 603, 179.

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}.