LCM of 669, 974, 992, 781, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 974, 992, 781, 472 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 669, 974, 992, 781, 472. So, keep reading to learn more.
Given numbers are 669,974,992,781,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,974,992,781,472 is 14892575025504.
Find LCM of 669,974,992,781,472 with Prime Factorization
| 2 | 669, 974, 992, 781, 472 |
| 2 | 669, 487, 496, 781, 236 |
| 2 | 669, 487, 248, 781, 118 |
| 669, 487, 124, 781, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 669 x 487 x 124 x 781 x 59 = 14892575025504
Therefore, the lowest common multiple of 669,974,992,781,472 is 14892575025504.
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.
669 x 974 x 992 x 781 x 472 = 238281200408064
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.
669 : 1, 3, 223, 669
974 : 1, 2, 487, 974
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
781 : 1, 11, 71, 781
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,974,992,781,472, is 1.
Now, the common factors can be found like this.
669:3x 223
974:2x 487
992:2x 2x 2x 2x 2x 31
781:11x 71
472:2x 2x 2x 59
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 2 = 16
Therefore, the value for common factors is 16.
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 = 238281200408064/(1x16)
LCM = 238281200408064/16
LCM = 14892575025504
Thus, we can understand that the LCM of 669,974,992,781,472 is 14892575025504.
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FAQs on LCM of 669, 974, 992, 781, 472
1. What is the LCM of 669, 974, 992, 781, 472?
Answer: LCM of 669, 974, 992, 781, 472 is 14892575025504.
2. How to calculate the LCM of 669, 974, 992, 781, 472?
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 669, 974, 992, 781, 472.
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}.