Least Common Multiple of 684/689, 794/277, 475/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/689, 794/277, 475/237 quickly i.e. 6788700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/689, 794/277, 475/237 is 6788700.

LCM(684/689, 794/277, 475/237) = 6788700

LCM of 684/689, 794/277, 475/237

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 684/689,794/277,475/237

Given numbers are 684/689,794/277,475/237

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 684,794,475

Least Common Multiple of Numerators i.e. LCM of 684,794,475 is 6788700.

GCF of Denominators means GCF of 689,277,237 as per the given fractions.

GCF of 689,277,237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,794,475

LCM of Fractions 684/689,794/277,475/237 is 6788700

2 684, 794, 475
19 342, 397, 475
18, 397, 25

∴ So the LCM of the given numbers is 2 x 19 x 18 x 397 x 25 = 6788700

Least Common Multiple of 684,794,475 with GCF Formula

Least Common Multiple of 684,794,475 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 684,794,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,794,475) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(684,794,475) x common factors =1 x 38 = 38

LCM(684,794,475) = ( 684 × 794 × 475 ) / 38

LCM(684,794,475) = 257970600 / 38

LCM(684,794,475) = 6788700


Lets's calculate GCF of 689,277,237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6788700/1

Therefore the LCM of Fractions 684/689,794/277,475/237 is 6788700

Greatest Common Factor of 689,277,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,277,237 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 689,277,237 . The biggest common factor number is the GCF number.
So the greatest common factor 689,277,237 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 684/689, 794/277, 475/237

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 684/689, 794/277, 475/237?

Answer: LCM of Numerators as per given numbers 684/689, 794/277, 475/237 is

LCM of Numerators i.e. for 684,794,475 is 6788700

GCF of denominators i.e. for 689,277,237 is 1.

Thus, LCM of Fractions is 6788700.Finally, LCM of Fractions for 684/689, 794/277, 475/237 is 6788700.