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Least Common Multiple of 474/217, 5107/868

Know Least Common Multiple of fractions 474/217, 5107/868 quickly i.e. 2420718/217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 474/217, 5107/868 is 2420718/217.

LCM(474/217, 5107/868) = 2420718/217

LCM of 474/217, 5107/868

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 474/217,5107/868

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 474,5107

Least Common Multiple of Numerators i.e. LCM of 474,5107 is 2420718.

GCF of Denominators means GCF of 217,868 as per the given fractions.

GCF of 217,868 is 217 as it is the largest common factor for these numbers.

Lets's calculate LCM of 474,5107

Least Common Multiple (LCM) of 474,5107 By Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2420718

Least Common Multiple of 474,5107 with GCF Formula

Least Common Multiple of 474,5107 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 474,5107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,5107) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(474,5107) x common factors =1 x 1 = 1

LCM(474,5107) = ( 474 × 5107 ) / 1

LCM(474,5107) = 2420718 / 1

LCM(474,5107) = 2420718


Lets's calculate GCF of 217,868

Greatest Common Factor (GCF) of 217,868 By Common Division

7 217, 868
31 31, 124
1, 4

∴ So the GCF of the given numbers is 7 x 31 = 217

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2420718/217

Therefore the LCM of Fractions 474/217,5107/868 is 2420718/217

Greatest Common Factor of 217,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,868 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 217,868 . The biggest common factor number is the GCF number.
So the greatest common factor 217,868 is 217.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 474/217, 5107/868

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 474/217, 5107/868?

Answer: LCM of Numerators as per given numbers 474/217, 5107/868 is

LCM of Numerators i.e. for 474,5107 is 2420718

GCF of denominators i.e. for 217,868 is 217.

Thus, LCM of Fractions is 2420718/217.Finally, LCM of Fractions for 474/217, 5107/868 is 2420718/217.