Least Common Multiple of 107/814, 745/844, 684/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/814, 745/844, 684/382 quickly i.e. 27262530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/814, 745/844, 684/382 is 27262530.

LCM(107/814, 745/844, 684/382) = 27262530

LCM of 107/814, 745/844, 684/382

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 107/814,745/844,684/382

Given numbers are 107/814,745/844,684/382

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 107,745,684

Least Common Multiple of Numerators i.e. LCM of 107,745,684 is 54525060.

GCF of Denominators means GCF of 814,844,382 as per the given fractions.

GCF of 814,844,382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,745,684

LCM of Fractions 107/814,745/844,684/382 is 27262530

Given numbers has no common factors except 1. So, there LCM is their product i.e 54525060

Least Common Multiple of 107,745,684 with GCF Formula

Least Common Multiple of 107,745,684 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 107,745,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,745,684) = 1

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

GCF(107,745,684) x common factors =1 x 1 = 1

LCM(107,745,684) = ( 107 × 745 × 684 ) / 1

LCM(107,745,684) = 54525060 / 1

LCM(107,745,684) = 54525060


Lets's calculate GCF of 814,844,382

2 814, 844, 382
407, 422, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54525060/2

Therefore the LCM of Fractions 107/814,745/844,684/382 is 27262530

Greatest Common Factor of 814,844,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,844,382 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 814,844,382 . The biggest common factor number is the GCF number.
So the greatest common factor 814,844,382 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 107/814, 745/844, 684/382

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 107/814, 745/844, 684/382?

Answer: LCM of Numerators as per given numbers 107/814, 745/844, 684/382 is

LCM of Numerators i.e. for 107,745,684 is 54525060

GCF of denominators i.e. for 814,844,382 is 2.

Thus, LCM of Fractions is 27262530.Finally, LCM of Fractions for 107/814, 745/844, 684/382 is 27262530.