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LCM of 357, 338, 880, 780, 738

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


Find the LCM of 357, 338, 880, 780, 738 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, 338, 880, 780, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,338,880,780,738

Given numbers are 357,338,880,780,738

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

The LCM of 357,338,880,780,738 is 6530443920.

Find LCM of 357,338,880,780,738 with Prime Factorization


2 357, 338, 880, 780, 738
2 357, 169, 440, 390, 369
3 357, 169, 220, 195, 369
5 119, 169, 220, 65, 123
13 119, 169, 44, 13, 123
119, 1, 44, 13, 123

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

2 x 2 x 3 x 5 x 13 x 119 x 1 x 44 x 13 x 123 = 6530443920

Therefore, the lowest common multiple of 357,338,880,780,738 is 6530443920.

LCM Formula to Find Lowest Common Multiple of 357,338,880,780,738

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 338 x 880 x 780 x 738 = 61124955091200

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

338 : 1, 2, 13, 26, 169, 338

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,338,880,780,738, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

338:2x 13x 13

880:2x 2x 2x 2x 5x 11

780:2x 2x 3x 5x 13

738:2x 3x 3x 41

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 2x 2x 3x 3x 5x 13 = 9360

Therefore, the value for common factors is 9360.

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 = 61124955091200/(1x9360)

LCM = 61124955091200/9360

LCM = 6530443920

Thus, we can understand that the LCM of 357,338,880,780,738 is 6530443920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 338, 880, 780, 738

1. What is the LCM of 357, 338, 880, 780, 738?

Answer: LCM of 357, 338, 880, 780, 738 is 6530443920.

2. How to calculate the LCM of 357, 338, 880, 780, 738?

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, 338, 880, 780, 738.

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}.