Least Common Multiple of 45/78, 61/35, 17/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/78, 61/35, 17/498 quickly i.e. 46665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/78, 61/35, 17/498 is 46665.

LCM(45/78, 61/35, 17/498) = 46665

LCM of 45/78, 61/35, 17/498

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 45/78,61/35,17/498

Given numbers are 45/78,61/35,17/498

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 45,61,17

Least Common Multiple of Numerators i.e. LCM of 45,61,17 is 46665.

GCF of Denominators means GCF of 78,35,498 as per the given fractions.

GCF of 78,35,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,61,17

LCM of Fractions 45/78,61/35,17/498 is 46665

Given numbers has no common factors except 1. So, there LCM is their product i.e 46665

Least Common Multiple of 45,61,17 with GCF Formula

Least Common Multiple of 45,61,17 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 45,61,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,61,17) = 1

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

GCF(45,61,17) x common factors =1 x 1 = 1

LCM(45,61,17) = ( 45 × 61 × 17 ) / 1

LCM(45,61,17) = 46665 / 1

LCM(45,61,17) = 46665


Lets's calculate GCF of 78,35,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46665/1

Therefore the LCM of Fractions 45/78,61/35,17/498 is 46665

Greatest Common Factor of 78,35,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,35,498 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 78,35,498 . The biggest common factor number is the GCF number.
So the greatest common factor 78,35,498 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 45/78, 61/35, 17/498

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 45/78, 61/35, 17/498?

Answer: LCM of Numerators as per given numbers 45/78, 61/35, 17/498 is

LCM of Numerators i.e. for 45,61,17 is 46665

GCF of denominators i.e. for 78,35,498 is 1.

Thus, LCM of Fractions is 46665.Finally, LCM of Fractions for 45/78, 61/35, 17/498 is 46665.