State the L.C.M of 2²*3²*5², 2³*3*5*7 as product of prime only.
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Step-by-step explanation:
=Find the prime factorization of 840
840 = 2 × 2 × 2 × 3 × 5 × 7
=Find the prime factorization of 900
900 = 2 × 2 × 3 × 3 × 5 × 5
=Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
=LCM = 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7
=LCM = 12600
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