Given numbers are 749,142,953,746,838

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

The LCM of 749,142,953,746,838 is 15841121226938.

Find LCM of 749,142,953,746,838 with Prime Factorization

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

2 x 749 x 71 x 953 x 373 x 419 = 15841121226938

Therefore, the lowest common multiple of 749,142,953,746,838 is 15841121226938.

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.

749 x 142 x 953 x 746 x 838 = 63364484907752

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.

749 : 1, 7, 107, 749

142 : 1, 2, 71, 142

953 : 1, 953

746 : 1, 2, 373, 746

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,142,953,746,838, is 1.

Now, the common factors can be found like this.

749:7x 107

142:2x 71

953:953

746:2x 373

838:2x 419

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 63364484907752/(1x4)

LCM = 63364484907752/4

LCM = 15841121226938

Thus, we can understand that the LCM of 749,142,953,746,838 is 15841121226938.

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

• LCM of 760, 599, 301, 288, 485
• LCM of 198, 284, 648, 414, 490
• LCM of 210, 636, 184, 623, 802
• LCM of 109, 148, 730, 505, 311
• LCM of 419, 879, 585, 988, 787

1. What is the LCM of 749, 142, 953, 746, 838?

Answer: LCM of 749, 142, 953, 746, 838 is 15841121226938.

2. How to calculate the LCM of 749, 142, 953, 746, 838?

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 749, 142, 953, 746, 838.

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}.