Question

LCM. of 23, 35, 46 is​

Answer 1

LCM of 23,35,46 is 1610. The surprise explaination is given below :

- LCM is the smallest positive number that is a multiple of two or more numbers.

- For no. 23

It goes only on its table so the LCM OF 23 IS 23.

- For no.35

First it would be divisible by 5. 7 will left and we know that the 7 goes only on its table. So, two divisible of 35 is 5,7.

- For no.46

Frst it would be divisible by 2. 23 will be left and we know that 23 goes on its own table.

- So, the two divisible of 46 is 2,23.

- Divisibles are =23*5*7*2*23

- LCM=23*5*7*2

=23*35*2

=1610

- Multiple of 23, 35,and 46 is 1610.

Answer 2

Answer:

LCM of $23, 35 , 46$ is $1610$ .

Step-by-step explanation:

To find : LCM of $23, 35 , 46$

Solution :

• LCM is the least common multiple of number .  
• We find the LCM of $23, 35 , 46$ by prime factorization method . In this method we find prime factors of $23, 35 , 46$ , and then take off least common multiple out of them .  
• Prime factors of $23 = 1\times 23$
• Prime factors of $35 = 5\times 7$
• Prime factors of $46 = 2 \times 23$
• LCM of $23, 35 , 46$ = $2\times 5\times 7 \times 23$

                                   $= 1610$