Least Common Multiple of 986/534, 6002/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 986/534, 6002/890 quickly i.e. 2958986/178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 986/534, 6002/890 is 2958986/178.

LCM(986/534, 6002/890) = 2958986/178

LCM of 986/534, 6002/890

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 986/534,6002/890

Given numbers are 986/534,6002/890

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 986,6002

Least Common Multiple of Numerators i.e. LCM of 986,6002 is 2958986.

GCF of Denominators means GCF of 534,890 as per the given fractions.

GCF of 534,890 is 178 as it is the largest common factor for these numbers.

Lets's calculate LCM of 986,6002

LCM of Fractions 986/534,6002/890 is 2958986/178

2 986, 6002
493, 3001

∴ So the LCM of the given numbers is 2 x 493 x 3001 = 2958986

Least Common Multiple of 986,6002 with GCF Formula

Least Common Multiple of 986,6002 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 986,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,6002) = 2

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

GCF(986,6002) x common factors =2 x 1 = 2

LCM(986,6002) = ( 986 × 6002 ) / 2

LCM(986,6002) = 5917972 / 2

LCM(986,6002) = 2958986


Lets's calculate GCF of 534,890

2 534, 890
89 267, 445
3, 5

∴ So the GCF of the given numbers is 2 x 89 = 178

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2958986/178

Therefore the LCM of Fractions 986/534,6002/890 is 2958986/178

Greatest Common Factor of 534,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,890 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 534,890 . The biggest common factor number is the GCF number.
So the greatest common factor 534,890 is 178.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 986/534, 6002/890

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 986/534, 6002/890?

Answer: LCM of Numerators as per given numbers 986/534, 6002/890 is

LCM of Numerators i.e. for 986,6002 is 2958986

GCF of denominators i.e. for 534,890 is 178.

Thus, LCM of Fractions is 2958986/178.Finally, LCM of Fractions for 986/534, 6002/890 is 2958986/178.