Least Common Multiple of 658/998, 7702/4206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/998, 7702/4206 quickly i.e. 1266979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/998, 7702/4206 is 1266979.

LCM(658/998, 7702/4206) = 1266979

LCM of 658/998, 7702/4206

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 658/998,7702/4206

Given numbers are 658/998,7702/4206

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 658,7702

Least Common Multiple of Numerators i.e. LCM of 658,7702 is 2533958.

GCF of Denominators means GCF of 998,4206 as per the given fractions.

GCF of 998,4206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,7702

LCM of Fractions 658/998,7702/4206 is 1266979

2 658, 7702
329, 3851

∴ So the LCM of the given numbers is 2 x 329 x 3851 = 2533958

Least Common Multiple of 658,7702 with GCF Formula

Least Common Multiple of 658,7702 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 658,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,7702) = 2

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

GCF(658,7702) x common factors =2 x 1 = 2

LCM(658,7702) = ( 658 × 7702 ) / 2

LCM(658,7702) = 5067916 / 2

LCM(658,7702) = 2533958


Lets's calculate GCF of 998,4206

2 998, 4206
499, 2103

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533958/2

Therefore the LCM of Fractions 658/998,7702/4206 is 1266979

Greatest Common Factor of 998,4206 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,4206 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1,2,3,6,701,1402,2103,4206

Greatest Common Factor

We found the factors 998,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 998,4206 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 658/998, 7702/4206

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 658/998, 7702/4206?

Answer: LCM of Numerators as per given numbers 658/998, 7702/4206 is

LCM of Numerators i.e. for 658,7702 is 2533958

GCF of denominators i.e. for 998,4206 is 2.

Thus, LCM of Fractions is 1266979.Finally, LCM of Fractions for 658/998, 7702/4206 is 1266979.