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LCM of 461, 533, 728, 956

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


Find the LCM of 461, 533, 728, 956 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 461, 533, 728, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,533,728,956

Given numbers are 461,533,728,956

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

The LCM of 461,533,728,956 is 3288622792.

Find LCM of 461,533,728,956 with Prime Factorization


2 461, 533, 728, 956
2 461, 533, 364, 478
13 461, 533, 182, 239
461, 41, 14, 239

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

2 x 2 x 13 x 461 x 41 x 14 x 239 = 3288622792

Therefore, the lowest common multiple of 461,533,728,956 is 3288622792.

LCM Formula to Find Lowest Common Multiple of 461,533,728,956

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.

461 x 533 x 728 x 956 = 171008385184

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.

461 : 1, 461

533 : 1, 13, 41, 533

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,533,728,956, is 1.

Now, the common factors can be found like this.

461:461

533:13x 41

728:2x 2x 2x 7x 13

956:2x 2x 239

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 13 = 52

Therefore, the value for common factors is 52.

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 = 171008385184/(1x52)

LCM = 171008385184/52

LCM = 3288622792

Thus, we can understand that the LCM of 461,533,728,956 is 3288622792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 533, 728, 956

1. What is the LCM of 461, 533, 728, 956?

Answer: LCM of 461, 533, 728, 956 is 3288622792.

2. How to calculate the LCM of 461, 533, 728, 956?

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 461, 533, 728, 956.

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}.