Given numbers are 972,160,126,798

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

The LCM of 972,160,126,798 is 5171040.

Find LCM of 972,160,126,798 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 27 x 40 x 1 x 19 = 5171040

Therefore, the lowest common multiple of 972,160,126,798 is 5171040.

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.

972 x 160 x 126 x 798 = 15637224960

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,160,126,798, is 2.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

160:2x 2x 2x 2x 2x 5

126:2x 3x 3x 7

798:2x 3x 7x 19

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 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 15637224960/(2x1512)

LCM = 15637224960/3024

LCM = 5171040

Thus, we can understand that the LCM of 972,160,126,798 is 5171040.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 530, 380, 212, 694
• LCM of 449, 711, 818, 894
• LCM of 881, 366, 166, 851
• LCM of 234, 880, 876, 523
• LCM of 516, 648, 263, 699

1. What is the LCM of 972, 160, 126, 798?

Answer: LCM of 972, 160, 126, 798 is 5171040.

2. How to calculate the LCM of 972, 160, 126, 798?

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 972, 160, 126, 798.

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}.