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LCM of 357, 737, 770, 314, 738

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


Find the LCM of 357, 737, 770, 314, 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, 737, 770, 314, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 357,737,770,314,738

Given numbers are 357,737,770,314,738

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

The LCM of 357,737,770,314,738 is 50808978990.

Find LCM of 357,737,770,314,738 with Prime Factorization


2 357, 737, 770, 314, 738
3 357, 737, 385, 157, 369
7 119, 737, 385, 157, 123
11 17, 737, 55, 157, 123
17, 67, 5, 157, 123

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

2 x 3 x 7 x 11 x 17 x 67 x 5 x 157 x 123 = 50808978990

Therefore, the lowest common multiple of 357,737,770,314,738 is 50808978990.

LCM Formula to Find Lowest Common Multiple of 357,737,770,314,738

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 737 x 770 x 314 x 738 = 46947496586760

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

737 : 1, 11, 67, 737

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

314 : 1, 2, 157, 314

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 357,737,770,314,738, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

737:11x 67

770:2x 5x 7x 11

314:2x 157

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 3x 7x 11 = 924

Therefore, the value for common factors is 924.

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 = 46947496586760/(1x924)

LCM = 46947496586760/924

LCM = 50808978990

Thus, we can understand that the LCM of 357,737,770,314,738 is 50808978990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 357, 737, 770, 314, 738

1. What is the LCM of 357, 737, 770, 314, 738?

Answer: LCM of 357, 737, 770, 314, 738 is 50808978990.

2. How to calculate the LCM of 357, 737, 770, 314, 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, 737, 770, 314, 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}.