Least Common Multiple of 3753/262, 4987/1985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3753/262, 4987/1985 quickly i.e. 18716211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3753/262, 4987/1985 is 18716211.

LCM(3753/262, 4987/1985) = 18716211

LCM of 3753/262, 4987/1985

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 3753/262,4987/1985

Given numbers are 3753/262,4987/1985

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 3753,4987

Least Common Multiple of Numerators i.e. LCM of 3753,4987 is 18716211.

GCF of Denominators means GCF of 262,1985 as per the given fractions.

GCF of 262,1985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3753,4987

LCM of Fractions 3753/262,4987/1985 is 18716211

Given numbers has no common factors except 1. So, there LCM is their product i.e 18716211

Least Common Multiple of 3753,4987 with GCF Formula

Least Common Multiple of 3753,4987 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 3753,4987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3753,4987) = 1

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

GCF(3753,4987) x common factors =1 x 1 = 1

LCM(3753,4987) = ( 3753 × 4987 ) / 1

LCM(3753,4987) = 18716211 / 1

LCM(3753,4987) = 18716211


Lets's calculate GCF of 262,1985

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18716211/1

Therefore the LCM of Fractions 3753/262,4987/1985 is 18716211

Greatest Common Factor of 262,1985 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,1985 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 1985

List of positive integer factors of 1985 that divides 1985 without a remainder.

1,5,397,1985

Greatest Common Factor

We found the factors 262,1985 . The biggest common factor number is the GCF number.
So the greatest common factor 262,1985 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3753/262, 4987/1985

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 3753/262, 4987/1985?

Answer: LCM of Numerators as per given numbers 3753/262, 4987/1985 is

LCM of Numerators i.e. for 3753,4987 is 18716211

GCF of denominators i.e. for 262,1985 is 1.

Thus, LCM of Fractions is 18716211.Finally, LCM of Fractions for 3753/262, 4987/1985 is 18716211.