Least Common Multiple of 354/87, 685/74, 640/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/87, 685/74, 640/459 quickly i.e. 15519360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/87, 685/74, 640/459 is 15519360.

LCM(354/87, 685/74, 640/459) = 15519360

LCM of 354/87, 685/74, 640/459

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 354/87,685/74,640/459

Given numbers are 354/87,685/74,640/459

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 354,685,640

Least Common Multiple of Numerators i.e. LCM of 354,685,640 is 15519360.

GCF of Denominators means GCF of 87,74,459 as per the given fractions.

GCF of 87,74,459 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,685,640

LCM of Fractions 354/87,685/74,640/459 is 15519360

2 354, 685, 640
5 177, 685, 320
177, 137, 64

∴ So the LCM of the given numbers is 2 x 5 x 177 x 137 x 64 = 15519360

Least Common Multiple of 354,685,640 with GCF Formula

Least Common Multiple of 354,685,640 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 354,685,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,685,640) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(354,685,640) x common factors =1 x 10 = 10

LCM(354,685,640) = ( 354 × 685 × 640 ) / 10

LCM(354,685,640) = 155193600 / 10

LCM(354,685,640) = 15519360


Lets's calculate GCF of 87,74,459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15519360/1

Therefore the LCM of Fractions 354/87,685/74,640/459 is 15519360

Greatest Common Factor of 87,74,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,74,459 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 87,74,459 . The biggest common factor number is the GCF number.
So the greatest common factor 87,74,459 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 354/87, 685/74, 640/459

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 354/87, 685/74, 640/459?

Answer: LCM of Numerators as per given numbers 354/87, 685/74, 640/459 is

LCM of Numerators i.e. for 354,685,640 is 15519360

GCF of denominators i.e. for 87,74,459 is 1.

Thus, LCM of Fractions is 15519360.Finally, LCM of Fractions for 354/87, 685/74, 640/459 is 15519360.