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LCM of 906, 509, 598, 967

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


Find the LCM of 906, 509, 598, 967 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, 509, 598, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,509,598,967

Given numbers are 906,509,598,967

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

The LCM of 906,509,598,967 is 133334839482.

Find LCM of 906,509,598,967 with Prime Factorization


2 906, 509, 598, 967
453, 509, 299, 967

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

2 x 453 x 509 x 299 x 967 = 133334839482

Therefore, the lowest common multiple of 906,509,598,967 is 133334839482.

LCM Formula to Find Lowest Common Multiple of 906,509,598,967

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 509 x 598 x 967 = 266669678964

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

509 : 1, 509

598 : 1, 2, 13, 23, 26, 46, 299, 598

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,509,598,967, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

509:509

598:2x 13x 23

967:967

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 266669678964/(1x2)

LCM = 266669678964/2

LCM = 133334839482

Thus, we can understand that the LCM of 906,509,598,967 is 133334839482.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 509, 598, 967

1. What is the LCM of 906, 509, 598, 967?

Answer: LCM of 906, 509, 598, 967 is 133334839482.

2. How to calculate the LCM of 906, 509, 598, 967?

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, 509, 598, 967.

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}.