Least Common Multiple of 84/65, 492/48, 754/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/65, 492/48, 754/109 quickly i.e. 1298388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/65, 492/48, 754/109 is 1298388.

LCM(84/65, 492/48, 754/109) = 1298388

LCM of 84/65, 492/48, 754/109

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 84/65,492/48,754/109

Given numbers are 84/65,492/48,754/109

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 84,492,754

Least Common Multiple of Numerators i.e. LCM of 84,492,754 is 1298388.

GCF of Denominators means GCF of 65,48,109 as per the given fractions.

GCF of 65,48,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,492,754

LCM of Fractions 84/65,492/48,754/109 is 1298388

2 84, 492, 754
2 42, 246, 377
3 21, 123, 377
7, 41, 377

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 41 x 377 = 1298388

Least Common Multiple of 84,492,754 with GCF Formula

Least Common Multiple of 84,492,754 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 84,492,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,492,754) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,492,754) x common factors =2 x 12 = 24

LCM(84,492,754) = ( 84 × 492 × 754 ) / 24

LCM(84,492,754) = 31161312 / 24

LCM(84,492,754) = 1298388


Lets's calculate GCF of 65,48,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1298388/1

Therefore the LCM of Fractions 84/65,492/48,754/109 is 1298388

Greatest Common Factor of 65,48,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,48,109 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 65,48,109 . The biggest common factor number is the GCF number.
So the greatest common factor 65,48,109 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 84/65, 492/48, 754/109

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 84/65, 492/48, 754/109?

Answer: LCM of Numerators as per given numbers 84/65, 492/48, 754/109 is

LCM of Numerators i.e. for 84,492,754 is 1298388

GCF of denominators i.e. for 65,48,109 is 1.

Thus, LCM of Fractions is 1298388.Finally, LCM of Fractions for 84/65, 492/48, 754/109 is 1298388.