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LCM of 357, 658, 469, 697

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


Find the LCM of 357, 658, 469, 697 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 357, 658, 469, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,658,469,697

Given numbers are 357,658,469,697

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

The LCM of 357,658,469,697 is 92183826.

Find LCM of 357,658,469,697 with Prime Factorization


7 357, 658, 469, 697
17 51, 94, 67, 697
3, 94, 67, 41

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

7 x 17 x 3 x 94 x 67 x 41 = 92183826

Therefore, the lowest common multiple of 357,658,469,697 is 92183826.

LCM Formula to Find Lowest Common Multiple of 357,658,469,697

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.

357 x 658 x 469 x 697 = 76789127058

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

658 : 1, 2, 7, 14, 47, 94, 329, 658

469 : 1, 7, 67, 469

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,658,469,697, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

658:2x 7x 47

469:7x 67

697:17x 41

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

7x 7x 17 = 833

Therefore, the value for common factors is 833.

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 = 76789127058/(1x833)

LCM = 76789127058/833

LCM = 92183826

Thus, we can understand that the LCM of 357,658,469,697 is 92183826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 658, 469, 697

1. What is the LCM of 357, 658, 469, 697?

Answer: LCM of 357, 658, 469, 697 is 92183826.

2. How to calculate the LCM of 357, 658, 469, 697?

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 357, 658, 469, 697.

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}.