LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 119, 718, 387, 344, 740

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


Find the LCM of 119, 718, 387, 344, 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 119, 718, 387, 344, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 119,718,387,344,740

Given numbers are 119,718,387,344,740

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

The LCM of 119,718,387,344,740 is 24468879960.

Find LCM of 119,718,387,344,740 with Prime Factorization


2 119, 718, 387, 344, 740
2 119, 359, 387, 172, 370
43 119, 359, 387, 86, 185
119, 359, 9, 2, 185

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

2 x 2 x 43 x 119 x 359 x 9 x 2 x 185 = 24468879960

Therefore, the lowest common multiple of 119,718,387,344,740 is 24468879960.

LCM Formula to Find Lowest Common Multiple of 119,718,387,344,740

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.

119 x 718 x 387 x 344 x 740 = 8417294706240

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.

119 : 1, 7, 17, 119

718 : 1, 2, 359, 718

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

344 : 1, 2, 4, 8, 43, 86, 172, 344

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 119,718,387,344,740, is 1.

Now, the common factors can be found like this.

119:7x 17

718:2x 359

387:3x 3x 43

344:2x 2x 2x 43

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.

2x 2x 2x 43 = 344

Therefore, the value for common factors is 344.

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 = 8417294706240/(1x344)

LCM = 8417294706240/344

LCM = 24468879960

Thus, we can understand that the LCM of 119,718,387,344,740 is 24468879960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 119, 718, 387, 344, 740

1. What is the LCM of 119, 718, 387, 344, 740?

Answer: LCM of 119, 718, 387, 344, 740 is 24468879960.

2. How to calculate the LCM of 119, 718, 387, 344, 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 119, 718, 387, 344, 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}.