Least Common Multiple of 8633/854, 7023/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8633/854, 7023/497 quickly i.e. 60629559/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8633/854, 7023/497 is 60629559/7.

LCM(8633/854, 7023/497) = 60629559/7

LCM of 8633/854, 7023/497

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 8633/854,7023/497

Given numbers are 8633/854,7023/497

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 8633,7023

Least Common Multiple of Numerators i.e. LCM of 8633,7023 is 60629559.

GCF of Denominators means GCF of 854,497 as per the given fractions.

GCF of 854,497 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8633,7023

LCM of Fractions 8633/854,7023/497 is 60629559/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 60629559

Least Common Multiple of 8633,7023 with GCF Formula

Least Common Multiple of 8633,7023 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 8633,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8633,7023) = 1

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

GCF(8633,7023) x common factors =1 x 1 = 1

LCM(8633,7023) = ( 8633 × 7023 ) / 1

LCM(8633,7023) = 60629559 / 1

LCM(8633,7023) = 60629559


Lets's calculate GCF of 854,497

7 854, 497
122, 71

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60629559/7

Therefore the LCM of Fractions 8633/854,7023/497 is 60629559/7

Greatest Common Factor of 854,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,497 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 854,497 . The biggest common factor number is the GCF number.
So the greatest common factor 854,497 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8633/854, 7023/497

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 8633/854, 7023/497?

Answer: LCM of Numerators as per given numbers 8633/854, 7023/497 is

LCM of Numerators i.e. for 8633,7023 is 60629559

GCF of denominators i.e. for 854,497 is 7.

Thus, LCM of Fractions is 60629559/7.Finally, LCM of Fractions for 8633/854, 7023/497 is 60629559/7.