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LCM of 392, 628, 148, 296

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


Find the LCM of 392, 628, 148, 296 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 392, 628, 148, 296. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,628,148,296

Given numbers are 392,628,148,296

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

The LCM of 392,628,148,296 is 2277128.

Find LCM of 392,628,148,296 with Prime Factorization


2 392, 628, 148, 296
2 196, 314, 74, 148
2 98, 157, 37, 74
37 49, 157, 37, 37
49, 157, 1, 1

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

2 x 2 x 2 x 37 x 49 x 157 x 1 x 1 = 2277128

Therefore, the lowest common multiple of 392,628,148,296 is 2277128.

LCM Formula to Find Lowest Common Multiple of 392,628,148,296

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.

392 x 628 x 148 x 296 = 10784478208

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

628 : 1, 2, 4, 157, 314, 628

148 : 1, 2, 4, 37, 74, 148

296 : 1, 2, 4, 8, 37, 74, 148, 296

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,628,148,296, is 4.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

628:2x 2x 157

148:2x 2x 37

296:2x 2x 2x 37

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 2x 2x 37 = 1184

Therefore, the value for common factors is 1184.

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 = 10784478208/(4x1184)

LCM = 10784478208/4736

LCM = 2277128

Thus, we can understand that the LCM of 392,628,148,296 is 2277128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 628, 148, 296

1. What is the LCM of 392, 628, 148, 296?

Answer: LCM of 392, 628, 148, 296 is 2277128.

2. How to calculate the LCM of 392, 628, 148, 296?

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 392, 628, 148, 296.

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}.