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 430, 723, 154, 957

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


Find the LCM of 430, 723, 154, 957 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 430, 723, 154, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 430,723,154,957

Given numbers are 430,723,154,957

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

The LCM of 430,723,154,957 is 694217370.

Find LCM of 430,723,154,957 with Prime Factorization


2 430, 723, 154, 957
3 215, 723, 77, 957
11 215, 241, 77, 319
215, 241, 7, 29

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

2 x 3 x 11 x 215 x 241 x 7 x 29 = 694217370

Therefore, the lowest common multiple of 430,723,154,957 is 694217370.

LCM Formula to Find Lowest Common Multiple of 430,723,154,957

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.

430 x 723 x 154 x 957 = 45818346420

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

723 : 1, 3, 241, 723

154 : 1, 2, 7, 11, 14, 22, 77, 154

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,723,154,957, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

723:3x 241

154:2x 7x 11

957:3x 11x 29

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

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 45818346420/(1x66)

LCM = 45818346420/66

LCM = 694217370

Thus, we can understand that the LCM of 430,723,154,957 is 694217370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 430, 723, 154, 957

1. What is the LCM of 430, 723, 154, 957?

Answer: LCM of 430, 723, 154, 957 is 694217370.

2. How to calculate the LCM of 430, 723, 154, 957?

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 430, 723, 154, 957.

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}.