Given numbers are 373,403,312,749

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

The LCM of 373,403,312,749 is 2702134344.

Find LCM of 373,403,312,749 with Prime Factorization

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

13 x 373 x 31 x 24 x 749 = 2702134344

Therefore, the lowest common multiple of 373,403,312,749 is 2702134344.

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.

373 x 403 x 312 x 749 = 35127746472

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.

373 : 1, 373

403 : 1, 13, 31, 403

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,403,312,749, is 1.

Now, the common factors can be found like this.

373:373

403:13x 31

312:2x 2x 2x 3x 13

749:7x 107

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

13 = 13

Therefore, the value for common factors is 13.

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 = 35127746472/(1x13)

LCM = 35127746472/13

LCM = 2702134344

Thus, we can understand that the LCM of 373,403,312,749 is 2702134344.

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

• LCM of 906, 183, 296, 955
• LCM of 520, 453, 368, 496
• LCM of 985, 406, 471, 205
• LCM of 130, 526, 820, 208
• LCM of 282, 431, 928, 891

1. What is the LCM of 373, 403, 312, 749?

Answer: LCM of 373, 403, 312, 749 is 2702134344.

2. How to calculate the LCM of 373, 403, 312, 749?

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 373, 403, 312, 749.

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}.