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LCM of 740, 951, 699, 387, 301

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


Find the LCM of 740, 951, 699, 387, 301 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 740, 951, 699, 387, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,951,699,387,301

Given numbers are 740,951,699,387,301

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

The LCM of 740,951,699,387,301 is 148066192260.

Find LCM of 740,951,699,387,301 with Prime Factorization


3 740, 951, 699, 387, 301
43 740, 317, 233, 129, 301
740, 317, 233, 3, 7

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

3 x 43 x 740 x 317 x 233 x 3 x 7 = 148066192260

Therefore, the lowest common multiple of 740,951,699,387,301 is 148066192260.

LCM Formula to Find Lowest Common Multiple of 740,951,699,387,301

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.

740 x 951 x 699 x 387 x 301 = 57301616404620

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.

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

951 : 1, 3, 317, 951

699 : 1, 3, 233, 699

387 : 1, 3, 9, 43, 129, 387

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,951,699,387,301, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

951:3x 317

699:3x 233

387:3x 3x 43

301:7x 43

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

3x 3x 43 = 387

Therefore, the value for common factors is 387.

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 = 57301616404620/(1x387)

LCM = 57301616404620/387

LCM = 148066192260

Thus, we can understand that the LCM of 740,951,699,387,301 is 148066192260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 951, 699, 387, 301

1. What is the LCM of 740, 951, 699, 387, 301?

Answer: LCM of 740, 951, 699, 387, 301 is 148066192260.

2. How to calculate the LCM of 740, 951, 699, 387, 301?

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 740, 951, 699, 387, 301.

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}.