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LCM of 902, 261, 951, 148

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


Find the LCM of 902, 261, 951, 148 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 902, 261, 951, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,261,951,148

Given numbers are 902,261,951,148

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

The LCM of 902,261,951,148 is 5522529276.

Find LCM of 902,261,951,148 with Prime Factorization


2 902, 261, 951, 148
3 451, 261, 951, 74
451, 87, 317, 74

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

2 x 3 x 451 x 87 x 317 x 74 = 5522529276

Therefore, the lowest common multiple of 902,261,951,148 is 5522529276.

LCM Formula to Find Lowest Common Multiple of 902,261,951,148

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.

902 x 261 x 951 x 148 = 33135175656

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

261 : 1, 3, 9, 29, 87, 261

951 : 1, 3, 317, 951

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,261,951,148, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

261:3x 3x 29

951:3x 317

148:2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 33135175656/(1x6)

LCM = 33135175656/6

LCM = 5522529276

Thus, we can understand that the LCM of 902,261,951,148 is 5522529276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 261, 951, 148

1. What is the LCM of 902, 261, 951, 148?

Answer: LCM of 902, 261, 951, 148 is 5522529276.

2. How to calculate the LCM of 902, 261, 951, 148?

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 902, 261, 951, 148.

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}.