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 340, 956, 432, 679

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


Find the LCM of 340, 956, 432, 679 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 340, 956, 432, 679. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,956,432,679

Given numbers are 340,956,432,679

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

The LCM of 340,956,432,679 is 5958958320.

Find LCM of 340,956,432,679 with Prime Factorization


2 340, 956, 432, 679
2 170, 478, 216, 679
85, 239, 108, 679

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

2 x 2 x 85 x 239 x 108 x 679 = 5958958320

Therefore, the lowest common multiple of 340,956,432,679 is 5958958320.

LCM Formula to Find Lowest Common Multiple of 340,956,432,679

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.

340 x 956 x 432 x 679 = 95343333120

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,956,432,679, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

956:2x 2x 239

432:2x 2x 2x 2x 3x 3x 3

679:7x 97

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 2 = 16

Therefore, the value for common factors is 16.

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 = 95343333120/(1x16)

LCM = 95343333120/16

LCM = 5958958320

Thus, we can understand that the LCM of 340,956,432,679 is 5958958320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 956, 432, 679

1. What is the LCM of 340, 956, 432, 679?

Answer: LCM of 340, 956, 432, 679 is 5958958320.

2. How to calculate the LCM of 340, 956, 432, 679?

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 340, 956, 432, 679.

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}.