Find the LCM of 802, 694, 848, 744, 108 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 802, 694, 848, 744, 108. So, keep reading to learn more.
Given numbers are 802,694,848,744,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,694,848,744,108 is 98763201072.
Find LCM of 802,694,848,744,108 with Prime Factorization
2 | 802, 694, 848, 744, 108 |
2 | 401, 347, 424, 372, 54 |
2 | 401, 347, 212, 186, 27 |
3 | 401, 347, 106, 93, 27 |
401, 347, 106, 31, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 401 x 347 x 106 x 31 x 9 = 98763201072
Therefore, the lowest common multiple of 802,694,848,744,108 is 98763201072.
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.
802 x 694 x 848 x 744 x 108 = 37925069211648
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.
802 : 1, 2, 401, 802
694 : 1, 2, 347, 694
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,694,848,744,108, is 2.
Now, the common factors can be found like this.
802:2x 401
694:2x 347
848:2x 2x 2x 2x 53
744:2x 2x 2x 3x 31
108:2x 2x 3x 3x 3
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 37925069211648/(2x192)
LCM = 37925069211648/384
LCM = 98763201072
Thus, we can understand that the LCM of 802,694,848,744,108 is 98763201072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 694, 848, 744, 108?
Answer: LCM of 802, 694, 848, 744, 108 is 98763201072.
2. How to calculate the LCM of 802, 694, 848, 744, 108?
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 802, 694, 848, 744, 108.
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}.