Least Common Multiple of 715/454, 2580/3509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 715/454, 2580/3509 quickly i.e. 368940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/454, 2580/3509 is 368940.

LCM(715/454, 2580/3509) = 368940

LCM of 715/454, 2580/3509

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 715/454,2580/3509

Given numbers are 715/454,2580/3509

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 715,2580

Least Common Multiple of Numerators i.e. LCM of 715,2580 is 368940.

GCF of Denominators means GCF of 454,3509 as per the given fractions.

GCF of 454,3509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,2580

LCM of Fractions 715/454,2580/3509 is 368940

5 715, 2580
143, 516

∴ So the LCM of the given numbers is 5 x 143 x 516 = 368940

Least Common Multiple of 715,2580 with GCF Formula

Least Common Multiple of 715,2580 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 715,2580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,2580) = 5

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

GCF(715,2580) x common factors =5 x 1 = 5

LCM(715,2580) = ( 715 × 2580 ) / 5

LCM(715,2580) = 1844700 / 5

LCM(715,2580) = 368940


Lets's calculate GCF of 454,3509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368940/1

Therefore the LCM of Fractions 715/454,2580/3509 is 368940

Greatest Common Factor of 454,3509 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,3509 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1,11,29,121,319,3509

Greatest Common Factor

We found the factors 454,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 454,3509 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 715/454, 2580/3509

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 715/454, 2580/3509?

Answer: LCM of Numerators as per given numbers 715/454, 2580/3509 is

LCM of Numerators i.e. for 715,2580 is 368940

GCF of denominators i.e. for 454,3509 is 1.

Thus, LCM of Fractions is 368940.Finally, LCM of Fractions for 715/454, 2580/3509 is 368940.