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LCM of 651, 669, 125, 974

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


Find the LCM of 651, 669, 125, 974 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 651, 669, 125, 974. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,669,125,974

Given numbers are 651,669,125,974

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

The LCM of 651,669,125,974 is 17674812750.

Find LCM of 651,669,125,974 with Prime Factorization


3 651, 669, 125, 974
217, 223, 125, 974

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

3 x 217 x 223 x 125 x 974 = 17674812750

Therefore, the lowest common multiple of 651,669,125,974 is 17674812750.

LCM Formula to Find Lowest Common Multiple of 651,669,125,974

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.

651 x 669 x 125 x 974 = 53024438250

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

669 : 1, 3, 223, 669

125 : 1, 5, 25, 125

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,669,125,974, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

669:3x 223

125:5x 5x 5

974:2x 487

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

3 = 3

Therefore, the value for common factors is 3.

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 = 53024438250/(1x3)

LCM = 53024438250/3

LCM = 17674812750

Thus, we can understand that the LCM of 651,669,125,974 is 17674812750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 669, 125, 974

1. What is the LCM of 651, 669, 125, 974?

Answer: LCM of 651, 669, 125, 974 is 17674812750.

2. How to calculate the LCM of 651, 669, 125, 974?

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 651, 669, 125, 974.

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}.