Least Common Multiple of 95/723, 345/214, 640/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/723, 345/214, 640/574 quickly i.e. 839040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/723, 345/214, 640/574 is 839040.

LCM(95/723, 345/214, 640/574) = 839040

LCM of 95/723, 345/214, 640/574

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 95/723,345/214,640/574

Given numbers are 95/723,345/214,640/574

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 95,345,640

Least Common Multiple of Numerators i.e. LCM of 95,345,640 is 839040.

GCF of Denominators means GCF of 723,214,574 as per the given fractions.

GCF of 723,214,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,345,640

LCM of Fractions 95/723,345/214,640/574 is 839040

5 95, 345, 640
19, 69, 128

∴ So the LCM of the given numbers is 5 x 19 x 69 x 128 = 839040

Least Common Multiple of 95,345,640 with GCF Formula

Least Common Multiple of 95,345,640 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 95,345,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,345,640) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(95,345,640) x common factors =5 x 5 = 25

LCM(95,345,640) = ( 95 × 345 × 640 ) / 25

LCM(95,345,640) = 20976000 / 25

LCM(95,345,640) = 839040


Lets's calculate GCF of 723,214,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 839040/1

Therefore the LCM of Fractions 95/723,345/214,640/574 is 839040

Greatest Common Factor of 723,214,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,214,574 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 723,214,574 . The biggest common factor number is the GCF number.
So the greatest common factor 723,214,574 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/723, 345/214, 640/574

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 95/723, 345/214, 640/574?

Answer: LCM of Numerators as per given numbers 95/723, 345/214, 640/574 is

LCM of Numerators i.e. for 95,345,640 is 839040

GCF of denominators i.e. for 723,214,574 is 1.

Thus, LCM of Fractions is 839040.Finally, LCM of Fractions for 95/723, 345/214, 640/574 is 839040.