LCM of 740, 676, 423, 533, 625
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 676, 423, 533, 625 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 740, 676, 423, 533, 625. So, keep reading to learn more.
Given numbers are 740,676,423,533,625
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,676,423,533,625 is 271114447500.
Find LCM of 740,676,423,533,625 with Prime Factorization
| 2 | 740, 676, 423, 533, 625 |
| 2 | 370, 338, 423, 533, 625 |
| 5 | 185, 169, 423, 533, 625 |
| 13 | 37, 169, 423, 533, 125 |
| 37, 13, 423, 41, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 37 x 13 x 423 x 41 x 125 = 271114447500
Therefore, the lowest common multiple of 740,676,423,533,625 is 271114447500.
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.
740 x 676 x 423 x 533 x 625 = 70489756350000
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
423 : 1, 3, 9, 47, 141, 423
533 : 1, 13, 41, 533
625 : 1, 5, 25, 125, 625
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,676,423,533,625, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
676:2x 2x 13x 13
423:3x 3x 47
533:13x 41
625:5x 5x 5x 5
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 70489756350000/(1x260)
LCM = 70489756350000/260
LCM = 271114447500
Thus, we can understand that the LCM of 740,676,423,533,625 is 271114447500.
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FAQs on LCM of 740, 676, 423, 533, 625
1. What is the LCM of 740, 676, 423, 533, 625?
Answer: LCM of 740, 676, 423, 533, 625 is 271114447500.
2. How to calculate the LCM of 740, 676, 423, 533, 625?
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 740, 676, 423, 533, 625.
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}.