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LCM of 906, 456, 190, 969

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


Find the LCM of 906, 456, 190, 969 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 906, 456, 190, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,456,190,969

Given numbers are 906,456,190,969

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

The LCM of 906,456,190,969 is 5852760.

Find LCM of 906,456,190,969 with Prime Factorization


2 906, 456, 190, 969
3 453, 228, 95, 969
19 151, 76, 95, 323
151, 4, 5, 17

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

2 x 3 x 19 x 151 x 4 x 5 x 17 = 5852760

Therefore, the lowest common multiple of 906,456,190,969 is 5852760.

LCM Formula to Find Lowest Common Multiple of 906,456,190,969

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.

906 x 456 x 190 x 969 = 76062468960

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

190 : 1, 2, 5, 10, 19, 38, 95, 190

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,456,190,969, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

456:2x 2x 2x 3x 19

190:2x 5x 19

969:3x 17x 19

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 3x 3x 19x 19 = 12996

Therefore, the value for common factors is 12996.

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 = 76062468960/(1x12996)

LCM = 76062468960/12996

LCM = 5852760

Thus, we can understand that the LCM of 906,456,190,969 is 5852760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 456, 190, 969

1. What is the LCM of 906, 456, 190, 969?

Answer: LCM of 906, 456, 190, 969 is 5852760.

2. How to calculate the LCM of 906, 456, 190, 969?

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 906, 456, 190, 969.

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}.