Least Common Multiple of 2518/147, 1474/2387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2518/147, 1474/2387 quickly i.e. 1855766/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2518/147, 1474/2387 is 1855766/7.

LCM(2518/147, 1474/2387) = 1855766/7

LCM of 2518/147, 1474/2387

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 2518/147,1474/2387

Given numbers are 2518/147,1474/2387

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 2518,1474

Least Common Multiple of Numerators i.e. LCM of 2518,1474 is 1855766.

GCF of Denominators means GCF of 147,2387 as per the given fractions.

GCF of 147,2387 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2518,1474

LCM of Fractions 2518/147,1474/2387 is 1855766/7

2 2518, 1474
1259, 737

∴ So the LCM of the given numbers is 2 x 1259 x 737 = 1855766

Least Common Multiple of 2518,1474 with GCF Formula

Least Common Multiple of 2518,1474 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 2518,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2518,1474) = 2

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

GCF(2518,1474) x common factors =2 x 1 = 2

LCM(2518,1474) = ( 2518 × 1474 ) / 2

LCM(2518,1474) = 3711532 / 2

LCM(2518,1474) = 1855766


Lets's calculate GCF of 147,2387

7 147, 2387
21, 341

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1855766/7

Therefore the LCM of Fractions 2518/147,1474/2387 is 1855766/7

Greatest Common Factor of 147,2387 By Matching Biggest Common Factor Method

Greatest Common Factor of 147,2387 By Matching Biggest Common Factor Method

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Factors of 2387

List of positive integer factors of 2387 that divides 2387 without a remainder.

1,7,11,31,77,217,341,2387

Greatest Common Factor

We found the factors 147,2387 . The biggest common factor number is the GCF number.
So the greatest common factor 147,2387 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2518/147, 1474/2387

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 2518/147, 1474/2387?

Answer: LCM of Numerators as per given numbers 2518/147, 1474/2387 is

LCM of Numerators i.e. for 2518,1474 is 1855766

GCF of denominators i.e. for 147,2387 is 7.

Thus, LCM of Fractions is 1855766/7.Finally, LCM of Fractions for 2518/147, 1474/2387 is 1855766/7.