Find the LCM of 743, 242, 276, 832, 936 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 743, 242, 276, 832, 936. So, keep reading to learn more.
Given numbers are 743,242,276,832,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,242,276,832,936 is 15483454272.
Find LCM of 743,242,276,832,936 with Prime Factorization
2 | 743, 242, 276, 832, 936 |
2 | 743, 121, 138, 416, 468 |
2 | 743, 121, 69, 208, 234 |
3 | 743, 121, 69, 104, 117 |
13 | 743, 121, 23, 104, 39 |
743, 121, 23, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 743 x 121 x 23 x 8 x 3 = 15483454272
Therefore, the lowest common multiple of 743,242,276,832,936 is 15483454272.
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.
743 x 242 x 276 x 832 x 936 = 38646701862912
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.
743 : 1, 743
242 : 1, 2, 11, 22, 121, 242
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,242,276,832,936, is 1.
Now, the common factors can be found like this.
743:743
242:2x 11x 11
276:2x 2x 3x 23
832:2x 2x 2x 2x 2x 2x 13
936:2x 2x 2x 3x 3x 13
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 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 38646701862912/(1x2496)
LCM = 38646701862912/2496
LCM = 15483454272
Thus, we can understand that the LCM of 743,242,276,832,936 is 15483454272.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 743, 242, 276, 832, 936?
Answer: LCM of 743, 242, 276, 832, 936 is 15483454272.
2. How to calculate the LCM of 743, 242, 276, 832, 936?
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 743, 242, 276, 832, 936.
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}.