LCM of 262, 974, 403, 692, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 262, 974, 403, 692, 620 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 262, 974, 403, 692, 620. So, keep reading to learn more.
Given numbers are 262,974,403,692,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,974,403,692,620 is 88957260860.
Find LCM of 262,974,403,692,620 with Prime Factorization
| 2 | 262, 974, 403, 692, 620 |
| 2 | 131, 487, 403, 346, 310 |
| 31 | 131, 487, 403, 173, 155 |
| 131, 487, 13, 173, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 131 x 487 x 13 x 173 x 5 = 88957260860
Therefore, the lowest common multiple of 262,974,403,692,620 is 88957260860.
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.
262 x 974 x 403 x 692 x 620 = 44122801386560
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.
262 : 1, 2, 131, 262
974 : 1, 2, 487, 974
403 : 1, 13, 31, 403
692 : 1, 2, 4, 173, 346, 692
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,974,403,692,620, is 1.
Now, the common factors can be found like this.
262:2x 131
974:2x 487
403:13x 31
692:2x 2x 173
620:2x 2x 5x 31
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 31 = 496
Therefore, the value for common factors is 496.
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 = 44122801386560/(1x496)
LCM = 44122801386560/496
LCM = 88957260860
Thus, we can understand that the LCM of 262,974,403,692,620 is 88957260860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 262, 974, 403, 692, 620
1. What is the LCM of 262, 974, 403, 692, 620?
Answer: LCM of 262, 974, 403, 692, 620 is 88957260860.
2. How to calculate the LCM of 262, 974, 403, 692, 620?
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 262, 974, 403, 692, 620.
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}.