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Fird the LCM and HCF of
1250 and 105

Ask by Newton Alexander. in South Africa
Jan 22,2025

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The LCM of 1250 and 105 is 26,250, and the HCF is 5.

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Mind Expander

To find the LCM and HCF of 1250 and 105, we start with their prime factorizations. The prime factors of 1250 are 2, 5^4, and for 105 they are 3, 5, and 7. The HCF (Highest Common Factor) is then obtained by taking the lowest power of the common prime factors, which is 5. Therefore, HCF = 5. For the LCM (Lowest Common Multiple), we take the highest powers of all prime factors: LCM = 2^1 × 3^1 × 5^4 × 7^1 = 17,500. So, HCF = 5 and LCM = 17,500!
Consider that knowing how to find the HCF and LCM is super useful for simplifying fractions or solving problems involving multiples and divisors in everyday life, such as serving portions in a recipe. Imagine you’re baking and need to double a cake recipe for a party! Having these skills helps you manage your ingredients without overcomplicating things.
If you’re diving deeper into these concepts, consider checking out classic math books that offer more problems on factors and multiples. “Elementary Number Theory” by David M. Bressoud is a great start. You might even stumble upon some cool historical anecdotes about how ancient civilizations approached number theory and computation!

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