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LCM of 920, 979, 408, 705

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


Find the LCM of 920, 979, 408, 705 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 920, 979, 408, 705. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,979,408,705

Given numbers are 920,979,408,705

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

The LCM of 920,979,408,705 is 2158929960.

Find LCM of 920,979,408,705 with Prime Factorization


2 920, 979, 408, 705
2 460, 979, 204, 705
2 230, 979, 102, 705
3 115, 979, 51, 705
5 115, 979, 17, 235
23, 979, 17, 47

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

2 x 2 x 2 x 3 x 5 x 23 x 979 x 17 x 47 = 2158929960

Therefore, the lowest common multiple of 920,979,408,705 is 2158929960.

LCM Formula to Find Lowest Common Multiple of 920,979,408,705

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.

920 x 979 x 408 x 705 = 259071595200

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

979 : 1, 11, 89, 979

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

705 : 1, 3, 5, 15, 47, 141, 235, 705

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,979,408,705, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

979:11x 89

408:2x 2x 2x 3x 17

705:3x 5x 47

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 259071595200/(1x120)

LCM = 259071595200/120

LCM = 2158929960

Thus, we can understand that the LCM of 920,979,408,705 is 2158929960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 979, 408, 705

1. What is the LCM of 920, 979, 408, 705?

Answer: LCM of 920, 979, 408, 705 is 2158929960.

2. How to calculate the LCM of 920, 979, 408, 705?

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 920, 979, 408, 705.

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}.