Least Common Multiple of 1029/654, 8778/8335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1029/654, 8778/8335 quickly i.e. 430122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1029/654, 8778/8335 is 430122.

LCM(1029/654, 8778/8335) = 430122

LCM of 1029/654, 8778/8335

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 1029/654,8778/8335

Given numbers are 1029/654,8778/8335

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 1029,8778

Least Common Multiple of Numerators i.e. LCM of 1029,8778 is 430122.

GCF of Denominators means GCF of 654,8335 as per the given fractions.

GCF of 654,8335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1029,8778

LCM of Fractions 1029/654,8778/8335 is 430122

3 1029, 8778
7 343, 2926
49, 418

∴ So the LCM of the given numbers is 3 x 7 x 49 x 418 = 430122

Least Common Multiple of 1029,8778 with GCF Formula

Least Common Multiple of 1029,8778 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 1029,8778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1029,8778) = 21

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

GCF(1029,8778) x common factors =21 x 1 = 21

LCM(1029,8778) = ( 1029 × 8778 ) / 21

LCM(1029,8778) = 9032562 / 21

LCM(1029,8778) = 430122


Lets's calculate GCF of 654,8335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430122/1

Therefore the LCM of Fractions 1029/654,8778/8335 is 430122

Greatest Common Factor of 654,8335 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,8335 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1,5,1667,8335

Greatest Common Factor

We found the factors 654,8335 . The biggest common factor number is the GCF number.
So the greatest common factor 654,8335 is 1.


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 1029/654, 8778/8335

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 1029/654, 8778/8335?

Answer: LCM of Numerators as per given numbers 1029/654, 8778/8335 is

LCM of Numerators i.e. for 1029,8778 is 430122

GCF of denominators i.e. for 654,8335 is 1.

Thus, LCM of Fractions is 430122.Finally, LCM of Fractions for 1029/654, 8778/8335 is 430122.