what is the LCM of 2618 and 1253.
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what is the LCM of 2618 and 1253.
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Verified answer
According to the question we have to find the LCM of [tex]2618[/tex] and [tex]1253.[/tex]
For that first we need to find the prime factors of [tex]2618[/tex] and [tex]1253.[/tex]
The prime factors of [tex]2618[/tex] are [tex]2,7,11[/tex] and [tex]17.[/tex]
The prime factors of [tex]1253[/tex] are [tex]7[/tex] and [tex]179.[/tex]
The LCM is the product of all factors in the greatest number of their occurrence,
LCM [tex]=2\times7\times11\times17\times179[/tex]
LCM [tex]=468,633[/tex]
Hence, the LCM of [tex]2618[/tex] and [tex]1253[/tex] is [tex]468,622.[/tex]
Given,
[tex]2618[/tex] and [tex]1253[/tex]
L.C.M (least common multiple): the smallest common multiple of two or more numbers.
To write the prime factors of [tex]2618,1253[/tex]
[tex]2618=2\times7\times11\times17[/tex]
[tex]1253=7\times179[/tex]
The L.C.M of [tex]2618,1253 = 468622[/tex]
Therefore, the L.C.M of [tex]2618,1253[/tex] is [tex]468622[/tex].