Least Common Multiple of 9798/77, 8470/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9798/77, 8470/262 quickly i.e. 41494530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9798/77, 8470/262 is 41494530.

LCM(9798/77, 8470/262) = 41494530

LCM of 9798/77, 8470/262

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 9798/77,8470/262

Given numbers are 9798/77,8470/262

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 9798,8470

Least Common Multiple of Numerators i.e. LCM of 9798,8470 is 41494530.

GCF of Denominators means GCF of 77,262 as per the given fractions.

GCF of 77,262 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9798,8470

LCM of Fractions 9798/77,8470/262 is 41494530

2 9798, 8470
4899, 4235

∴ So the LCM of the given numbers is 2 x 4899 x 4235 = 41494530

Least Common Multiple of 9798,8470 with GCF Formula

Least Common Multiple of 9798,8470 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 9798,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9798,8470) = 2

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

GCF(9798,8470) x common factors =2 x 1 = 2

LCM(9798,8470) = ( 9798 × 8470 ) / 2

LCM(9798,8470) = 82989060 / 2

LCM(9798,8470) = 41494530


Lets's calculate GCF of 77,262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41494530/1

Therefore the LCM of Fractions 9798/77,8470/262 is 41494530

Greatest Common Factor of 77,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,262 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 262

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

1,2,131,262

Greatest Common Factor

We found the factors 77,262 . The biggest common factor number is the GCF number.
So the greatest common factor 77,262 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9798/77, 8470/262

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 9798/77, 8470/262?

Answer: LCM of Numerators as per given numbers 9798/77, 8470/262 is

LCM of Numerators i.e. for 9798,8470 is 41494530

GCF of denominators i.e. for 77,262 is 1.

Thus, LCM of Fractions is 41494530.Finally, LCM of Fractions for 9798/77, 8470/262 is 41494530.