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LCM of 662, 354, 962, 407

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


Find the LCM of 662, 354, 962, 407 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 662, 354, 962, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,354,962,407

Given numbers are 662,354,962,407

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

The LCM of 662,354,962,407 is 619967634.

Find LCM of 662,354,962,407 with Prime Factorization


2 662, 354, 962, 407
37 331, 177, 481, 407
331, 177, 13, 11

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

2 x 37 x 331 x 177 x 13 x 11 = 619967634

Therefore, the lowest common multiple of 662,354,962,407 is 619967634.

LCM Formula to Find Lowest Common Multiple of 662,354,962,407

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.

662 x 354 x 962 x 407 = 91755209832

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.

662 : 1, 2, 331, 662

354 : 1, 2, 3, 6, 59, 118, 177, 354

962 : 1, 2, 13, 26, 37, 74, 481, 962

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,354,962,407, is 1.

Now, the common factors can be found like this.

662:2x 331

354:2x 3x 59

962:2x 13x 37

407:11x 37

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

2x 2x 37 = 148

Therefore, the value for common factors is 148.

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 = 91755209832/(1x148)

LCM = 91755209832/148

LCM = 619967634

Thus, we can understand that the LCM of 662,354,962,407 is 619967634.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 354, 962, 407

1. What is the LCM of 662, 354, 962, 407?

Answer: LCM of 662, 354, 962, 407 is 619967634.

2. How to calculate the LCM of 662, 354, 962, 407?

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 662, 354, 962, 407.

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}.