Given numbers are 507,458,541,438

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 507,458,541,438 is 9170511558.

Find LCM of 507,458,541,438 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 169 x 229 x 541 x 73 = 9170511558

Therefore, the lowest common multiple of 507,458,541,438 is 9170511558.

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.

507 x 458 x 541 x 438 = 55023069348

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.

507 : 1, 3, 13, 39, 169, 507

458 : 1, 2, 229, 458

541 : 1, 541

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,458,541,438, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

458:2x 229

541:541

438:2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 55023069348/(1x6)

LCM = 55023069348/6

LCM = 9170511558

Thus, we can understand that the LCM of 507,458,541,438 is 9170511558.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 338, 953, 900, 821
• LCM of 969, 881, 131, 512
• LCM of 363, 958, 933, 458
• LCM of 624, 781, 391, 273
• LCM of 144, 693, 104, 299

1. What is the LCM of 507, 458, 541, 438?

Answer: LCM of 507, 458, 541, 438 is 9170511558.

2. How to calculate the LCM of 507, 458, 541, 438?

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 507, 458, 541, 438.

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}.