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LCM of 942, 426, 348, 512

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


Find the LCM of 942, 426, 348, 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 942, 426, 348, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,426,348,512

Given numbers are 942,426,348,512

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

The LCM of 942,426,348,512 is 496531968.

Find LCM of 942,426,348,512 with Prime Factorization


2 942, 426, 348, 512
2 471, 213, 174, 256
3 471, 213, 87, 128
157, 71, 29, 128

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

2 x 2 x 3 x 157 x 71 x 29 x 128 = 496531968

Therefore, the lowest common multiple of 942,426,348,512 is 496531968.

LCM Formula to Find Lowest Common Multiple of 942,426,348,512

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.

942 x 426 x 348 x 512 = 71500603392

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

426 : 1, 2, 3, 6, 71, 142, 213, 426

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,426,348,512, is 2.

Now, the common factors can be found like this.

942:2x 3x 157

426:2x 3x 71

348:2x 2x 3x 29

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 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 71500603392/(2x72)

LCM = 71500603392/144

LCM = 496531968

Thus, we can understand that the LCM of 942,426,348,512 is 496531968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 426, 348, 512

1. What is the LCM of 942, 426, 348, 512?

Answer: LCM of 942, 426, 348, 512 is 496531968.

2. How to calculate the LCM of 942, 426, 348, 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 942, 426, 348, 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}.