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LCM of 949, 527, 182, 512

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


Find the LCM of 949, 527, 182, 512 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 949, 527, 182, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,527,182,512

Given numbers are 949,527,182,512

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

The LCM of 949,527,182,512 is 1792440832.

Find LCM of 949,527,182,512 with Prime Factorization


2 949, 527, 182, 512
13 949, 527, 91, 256
73, 527, 7, 256

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

2 x 13 x 73 x 527 x 7 x 256 = 1792440832

Therefore, the lowest common multiple of 949,527,182,512 is 1792440832.

LCM Formula to Find Lowest Common Multiple of 949,527,182,512

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.

949 x 527 x 182 x 512 = 46603461632

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.

949 : 1, 13, 73, 949

527 : 1, 17, 31, 527

182 : 1, 2, 7, 13, 14, 26, 91, 182

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,527,182,512, is 1.

Now, the common factors can be found like this.

949:13x 73

527:17x 31

182:2x 7x 13

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 46603461632/(1x26)

LCM = 46603461632/26

LCM = 1792440832

Thus, we can understand that the LCM of 949,527,182,512 is 1792440832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 527, 182, 512

1. What is the LCM of 949, 527, 182, 512?

Answer: LCM of 949, 527, 182, 512 is 1792440832.

2. How to calculate the LCM of 949, 527, 182, 512?

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 949, 527, 182, 512.

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}.