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LCM of 960, 319, 434, 620, 841

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


Find the LCM of 960, 319, 434, 620, 841 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 960, 319, 434, 620, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,319,434,620,841

Given numbers are 960,319,434,620,841

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

The LCM of 960,319,434,620,841 is 1927168320.

Find LCM of 960,319,434,620,841 with Prime Factorization


2 960, 319, 434, 620, 841
2 480, 319, 217, 310, 841
5 240, 319, 217, 155, 841
29 48, 319, 217, 31, 841
31 48, 11, 217, 31, 29
48, 11, 7, 1, 29

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

2 x 2 x 5 x 29 x 31 x 48 x 11 x 7 x 1 x 29 = 1927168320

Therefore, the lowest common multiple of 960,319,434,620,841 is 1927168320.

LCM Formula to Find Lowest Common Multiple of 960,319,434,620,841

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.

960 x 319 x 434 x 620 x 841 = 69300972787200

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

319 : 1, 11, 29, 319

434 : 1, 2, 7, 14, 31, 62, 217, 434

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,319,434,620,841, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

319:11x 29

434:2x 7x 31

620:2x 2x 5x 31

841:29x 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 2x 2x 5x 29x 31 = 35960

Therefore, the value for common factors is 35960.

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 = 69300972787200/(1x35960)

LCM = 69300972787200/35960

LCM = 1927168320

Thus, we can understand that the LCM of 960,319,434,620,841 is 1927168320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 319, 434, 620, 841

1. What is the LCM of 960, 319, 434, 620, 841?

Answer: LCM of 960, 319, 434, 620, 841 is 1927168320.

2. How to calculate the LCM of 960, 319, 434, 620, 841?

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 960, 319, 434, 620, 841.

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}.