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LCM of 949, 323, 373, 102

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


Find the LCM of 949, 323, 373, 102 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, 323, 373, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,323,373,102

Given numbers are 949,323,373,102

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

The LCM of 949,323,373,102 is 686007426.

Find LCM of 949,323,373,102 with Prime Factorization


17 949, 323, 373, 102
949, 19, 373, 6

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

17 x 949 x 19 x 373 x 6 = 686007426

Therefore, the lowest common multiple of 949,323,373,102 is 686007426.

LCM Formula to Find Lowest Common Multiple of 949,323,373,102

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 323 x 373 x 102 = 11662126242

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

323 : 1, 17, 19, 323

373 : 1, 373

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,323,373,102, is 1.

Now, the common factors can be found like this.

949:13x 73

323:17x 19

373:373

102:2x 3x 17

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

17 = 17

Therefore, the value for common factors is 17.

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 = 11662126242/(1x17)

LCM = 11662126242/17

LCM = 686007426

Thus, we can understand that the LCM of 949,323,373,102 is 686007426.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 323, 373, 102

1. What is the LCM of 949, 323, 373, 102?

Answer: LCM of 949, 323, 373, 102 is 686007426.

2. How to calculate the LCM of 949, 323, 373, 102?

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, 323, 373, 102.

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}.