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LCM of 253, 708, 362, 662

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


Find the LCM of 253, 708, 362, 662 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 253, 708, 362, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,708,362,662

Given numbers are 253,708,362,662

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

The LCM of 253,708,362,662 is 10731497964.

Find LCM of 253,708,362,662 with Prime Factorization


2 253, 708, 362, 662
253, 354, 181, 331

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

2 x 253 x 354 x 181 x 331 = 10731497964

Therefore, the lowest common multiple of 253,708,362,662 is 10731497964.

LCM Formula to Find Lowest Common Multiple of 253,708,362,662

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.

253 x 708 x 362 x 662 = 42925991856

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.

253 : 1, 11, 23, 253

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

362 : 1, 2, 181, 362

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,708,362,662, is 1.

Now, the common factors can be found like this.

253:11x 23

708:2x 2x 3x 59

362:2x 181

662:2x 331

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 42925991856/(1x4)

LCM = 42925991856/4

LCM = 10731497964

Thus, we can understand that the LCM of 253,708,362,662 is 10731497964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 708, 362, 662

1. What is the LCM of 253, 708, 362, 662?

Answer: LCM of 253, 708, 362, 662 is 10731497964.

2. How to calculate the LCM of 253, 708, 362, 662?

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 253, 708, 362, 662.

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}.