Question

1. Find an odd natural number x such that LCM (x, 40)= 1400

Answer 1

The odd natural number which is mentioned as X is 175.

Step-by-step explanation:

• By prime Factorization method .
• Step 1  : The prime factor for 40 is = 2×2×2×5.
• Step 2 :The prime factor for 1400 is = 2×2×2×5×5×7.
• Step 3 : the prime factor for the unknown  natural odd number is to be find by comparing the factors of 40 and 1400.
• Step 4 : Lcm is known as least common multiple.
• Step 5 : Thus we can see  the 5×5×7 in 1400 as different factors from the factors of 40.
• Step 6 : So lets multiply the factors we get number 175 which satisfies the condition of the odd number.
• Step 7 :  The prime factors of 175 are 5×5×7.