Find the LCM of 158, 653, 840, 894, 847 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 158, 653, 840, 894, 847. So, keep reading to learn more.
Given numbers are 158,653,840,894,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,653,840,894,847 is 781252099320.
Find LCM of 158,653,840,894,847 with Prime Factorization
2 | 158, 653, 840, 894, 847 |
3 | 79, 653, 420, 447, 847 |
7 | 79, 653, 140, 149, 847 |
79, 653, 20, 149, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 79 x 653 x 20 x 149 x 121 = 781252099320
Therefore, the lowest common multiple of 158,653,840,894,847 is 781252099320.
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.
158 x 653 x 840 x 894 x 847 = 65625176342880
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.
158 : 1, 2, 79, 158
653 : 1, 653
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
894 : 1, 2, 3, 6, 149, 298, 447, 894
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,653,840,894,847, is 1.
Now, the common factors can be found like this.
158:2x 79
653:653
840:2x 2x 2x 3x 5x 7
894:2x 3x 149
847:7x 11x 11
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 65625176342880/(1x84)
LCM = 65625176342880/84
LCM = 781252099320
Thus, we can understand that the LCM of 158,653,840,894,847 is 781252099320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 158, 653, 840, 894, 847?
Answer: LCM of 158, 653, 840, 894, 847 is 781252099320.
2. How to calculate the LCM of 158, 653, 840, 894, 847?
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 158, 653, 840, 894, 847.
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}.