Least Common Multiple of 661/688, 682/312, 382/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 661/688, 682/312, 382/830 quickly i.e. 43051591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/688, 682/312, 382/830 is 43051591.

LCM(661/688, 682/312, 382/830) = 43051591

LCM of 661/688, 682/312, 382/830

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 661/688,682/312,382/830

Given numbers are 661/688,682/312,382/830

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 661,682,382

Least Common Multiple of Numerators i.e. LCM of 661,682,382 is 86103182.

GCF of Denominators means GCF of 688,312,830 as per the given fractions.

GCF of 688,312,830 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,682,382

LCM of Fractions 661/688,682/312,382/830 is 43051591

2 661, 682, 382
661, 341, 191

∴ So the LCM of the given numbers is 2 x 661 x 341 x 191 = 86103182

Least Common Multiple of 661,682,382 with GCF Formula

Least Common Multiple of 661,682,382 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 661,682,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,682,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(661,682,382) x common factors =1 x 2 = 2

LCM(661,682,382) = ( 661 × 682 × 382 ) / 2

LCM(661,682,382) = 172206364 / 2

LCM(661,682,382) = 86103182


Lets's calculate GCF of 688,312,830

2 688, 312, 830
344, 156, 415

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86103182/2

Therefore the LCM of Fractions 661/688,682/312,382/830 is 43051591

Greatest Common Factor of 688,312,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,312,830 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 688,312,830 . The biggest common factor number is the GCF number.
So the greatest common factor 688,312,830 is 2.


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 661/688, 682/312, 382/830

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 661/688, 682/312, 382/830?

Answer: LCM of Numerators as per given numbers 661/688, 682/312, 382/830 is

LCM of Numerators i.e. for 661,682,382 is 86103182

GCF of denominators i.e. for 688,312,830 is 2.

Thus, LCM of Fractions is 43051591.Finally, LCM of Fractions for 661/688, 682/312, 382/830 is 43051591.