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LCM of 230, 956, 727, 478

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


Find the LCM of 230, 956, 727, 478 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 230, 956, 727, 478. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,956,727,478

Given numbers are 230,956,727,478

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

The LCM of 230,956,727,478 is 79926380.

Find LCM of 230,956,727,478 with Prime Factorization


2 230, 956, 727, 478
239 115, 478, 727, 239
115, 2, 727, 1

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

2 x 239 x 115 x 2 x 727 x 1 = 79926380

Therefore, the lowest common multiple of 230,956,727,478 is 79926380.

LCM Formula to Find Lowest Common Multiple of 230,956,727,478

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.

230 x 956 x 727 x 478 = 76409619280

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

956 : 1, 2, 4, 239, 478, 956

727 : 1, 727

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,956,727,478, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

956:2x 2x 239

727:727

478:2x 239

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 239 = 956

Therefore, the value for common factors is 956.

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 = 76409619280/(1x956)

LCM = 76409619280/956

LCM = 79926380

Thus, we can understand that the LCM of 230,956,727,478 is 79926380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 956, 727, 478

1. What is the LCM of 230, 956, 727, 478?

Answer: LCM of 230, 956, 727, 478 is 79926380.

2. How to calculate the LCM of 230, 956, 727, 478?

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 230, 956, 727, 478.

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}.