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LCM of 979, 299, 433, 358, 740

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


Find the LCM of 979, 299, 433, 358, 740 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 979, 299, 433, 358, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,299,433,358,740

Given numbers are 979,299,433,358,740

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

The LCM of 979,299,433,358,740 is 16789065644780.

Find LCM of 979,299,433,358,740 with Prime Factorization


2 979, 299, 433, 358, 740
979, 299, 433, 179, 370

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

2 x 979 x 299 x 433 x 179 x 370 = 16789065644780

Therefore, the lowest common multiple of 979,299,433,358,740 is 16789065644780.

LCM Formula to Find Lowest Common Multiple of 979,299,433,358,740

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.

979 x 299 x 433 x 358 x 740 = 33578131289560

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.

979 : 1, 11, 89, 979

299 : 1, 13, 23, 299

433 : 1, 433

358 : 1, 2, 179, 358

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,299,433,358,740, is 1.

Now, the common factors can be found like this.

979:11x 89

299:13x 23

433:433

358:2x 179

740:2x 2x 5x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33578131289560/(1x2)

LCM = 33578131289560/2

LCM = 16789065644780

Thus, we can understand that the LCM of 979,299,433,358,740 is 16789065644780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 299, 433, 358, 740

1. What is the LCM of 979, 299, 433, 358, 740?

Answer: LCM of 979, 299, 433, 358, 740 is 16789065644780.

2. How to calculate the LCM of 979, 299, 433, 358, 740?

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 979, 299, 433, 358, 740.

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}.