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LCM of 604, 253, 702, 219

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


Find the LCM of 604, 253, 702, 219 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 604, 253, 702, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 604,253,702,219

Given numbers are 604,253,702,219

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

The LCM of 604,253,702,219 is 3915501876.

Find LCM of 604,253,702,219 with Prime Factorization


2 604, 253, 702, 219
3 302, 253, 351, 219
302, 253, 117, 73

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

2 x 3 x 302 x 253 x 117 x 73 = 3915501876

Therefore, the lowest common multiple of 604,253,702,219 is 3915501876.

LCM Formula to Find Lowest Common Multiple of 604,253,702,219

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.

604 x 253 x 702 x 219 = 23493011256

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.

604 : 1, 2, 4, 151, 302, 604

253 : 1, 11, 23, 253

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 604,253,702,219, is 1.

Now, the common factors can be found like this.

604:2x 2x 151

253:11x 23

702:2x 3x 3x 3x 13

219:3x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 23493011256/(1x6)

LCM = 23493011256/6

LCM = 3915501876

Thus, we can understand that the LCM of 604,253,702,219 is 3915501876.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 604, 253, 702, 219

1. What is the LCM of 604, 253, 702, 219?

Answer: LCM of 604, 253, 702, 219 is 3915501876.

2. How to calculate the LCM of 604, 253, 702, 219?

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 604, 253, 702, 219.

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}.