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 715, 370, 145, 949

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


Find the LCM of 715, 370, 145, 949 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 715, 370, 145, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 715,370,145,949

Given numbers are 715,370,145,949

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

The LCM of 715,370,145,949 is 112010470.

Find LCM of 715,370,145,949 with Prime Factorization


5 715, 370, 145, 949
13 143, 74, 29, 949
11, 74, 29, 73

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

5 x 13 x 11 x 74 x 29 x 73 = 112010470

Therefore, the lowest common multiple of 715,370,145,949 is 112010470.

LCM Formula to Find Lowest Common Multiple of 715,370,145,949

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.

715 x 370 x 145 x 949 = 36403402750

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

370 : 1, 2, 5, 10, 37, 74, 185, 370

145 : 1, 5, 29, 145

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,370,145,949, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

370:2x 5x 37

145:5x 29

949:13x 73

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

5x 5x 13 = 325

Therefore, the value for common factors is 325.

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 = 36403402750/(1x325)

LCM = 36403402750/325

LCM = 112010470

Thus, we can understand that the LCM of 715,370,145,949 is 112010470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 715, 370, 145, 949

1. What is the LCM of 715, 370, 145, 949?

Answer: LCM of 715, 370, 145, 949 is 112010470.

2. How to calculate the LCM of 715, 370, 145, 949?

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 715, 370, 145, 949.

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}.