Least Common Multiple of 676/84, 453/8499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 676/84, 453/8499 quickly i.e. 102076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/84, 453/8499 is 102076.

LCM(676/84, 453/8499) = 102076

LCM of 676/84, 453/8499

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 676/84,453/8499

Given numbers are 676/84,453/8499

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 676,453

Least Common Multiple of Numerators i.e. LCM of 676,453 is 306228.

GCF of Denominators means GCF of 84,8499 as per the given fractions.

GCF of 84,8499 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,453

LCM of Fractions 676/84,453/8499 is 102076

Given numbers has no common factors except 1. So, there LCM is their product i.e 306228

Least Common Multiple of 676,453 with GCF Formula

Least Common Multiple of 676,453 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 676,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,453) = 1

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

GCF(676,453) x common factors =1 x 1 = 1

LCM(676,453) = ( 676 × 453 ) / 1

LCM(676,453) = 306228 / 1

LCM(676,453) = 306228


Lets's calculate GCF of 84,8499

3 84, 8499
28, 2833

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306228/3

Therefore the LCM of Fractions 676/84,453/8499 is 102076

Greatest Common Factor of 84,8499 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,8499 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Greatest Common Factor

We found the factors 84,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 84,8499 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 676/84, 453/8499

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 676/84, 453/8499?

Answer: LCM of Numerators as per given numbers 676/84, 453/8499 is

LCM of Numerators i.e. for 676,453 is 306228

GCF of denominators i.e. for 84,8499 is 3.

Thus, LCM of Fractions is 102076.Finally, LCM of Fractions for 676/84, 453/8499 is 102076.