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

Mathematics

1 answer:

aleksklad [387]2 years ago

4 0

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

<u>Step-by-step explanation:</u>

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.

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