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LCM of 840, 896, 965, 755, 960

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


Find the LCM of 840, 896, 965, 755, 960 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 840, 896, 965, 755, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 840,896,965,755,960

Given numbers are 840,896,965,755,960

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

The LCM of 840,896,965,755,960 is 391681920.

Find LCM of 840,896,965,755,960 with Prime Factorization


2 840, 896, 965, 755, 960
2 420, 448, 965, 755, 480
2 210, 224, 965, 755, 240
2 105, 112, 965, 755, 120
2 105, 56, 965, 755, 60
2 105, 28, 965, 755, 30
3 105, 14, 965, 755, 15
5 35, 14, 965, 755, 5
7 7, 14, 193, 151, 1
1, 2, 193, 151, 1

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 2 x 193 x 151 x 1 = 391681920

Therefore, the lowest common multiple of 840,896,965,755,960 is 391681920.

LCM Formula to Find Lowest Common Multiple of 840,896,965,755,960

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.

840 x 896 x 965 x 755 x 960 = 526420500480000

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

965 : 1, 5, 193, 965

755 : 1, 5, 151, 755

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,896,965,755,960, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

896:2x 2x 2x 2x 2x 2x 2x 7

965:5x 193

755:5x 151

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

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 2x 2x 2x 2x 2x 2x 3x 5x 5x 5x 7 = 1344000

Therefore, the value for common factors is 1344000.

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 = 526420500480000/(1x1344000)

LCM = 526420500480000/1344000

LCM = 391681920

Thus, we can understand that the LCM of 840,896,965,755,960 is 391681920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 840, 896, 965, 755, 960

1. What is the LCM of 840, 896, 965, 755, 960?

Answer: LCM of 840, 896, 965, 755, 960 is 391681920.

2. How to calculate the LCM of 840, 896, 965, 755, 960?

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 840, 896, 965, 755, 960.

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}.