Least Common Multiple of 278/455, 319/645, 682/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/455, 319/645, 682/614 quickly i.e. 2749142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/455, 319/645, 682/614 is 2749142.

LCM(278/455, 319/645, 682/614) = 2749142

LCM of 278/455, 319/645, 682/614

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 278/455,319/645,682/614

Given numbers are 278/455,319/645,682/614

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 278,319,682

Least Common Multiple of Numerators i.e. LCM of 278,319,682 is 2749142.

GCF of Denominators means GCF of 455,645,614 as per the given fractions.

GCF of 455,645,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,319,682

LCM of Fractions 278/455,319/645,682/614 is 2749142

2 278, 319, 682
11 139, 319, 341
139, 29, 31

∴ So the LCM of the given numbers is 2 x 11 x 139 x 29 x 31 = 2749142

Least Common Multiple of 278,319,682 with GCF Formula

Least Common Multiple of 278,319,682 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 278,319,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,319,682) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(278,319,682) x common factors =1 x 22 = 22

LCM(278,319,682) = ( 278 × 319 × 682 ) / 22

LCM(278,319,682) = 60481124 / 22

LCM(278,319,682) = 2749142


Lets's calculate GCF of 455,645,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2749142/1

Therefore the LCM of Fractions 278/455,319/645,682/614 is 2749142

Greatest Common Factor of 455,645,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,645,614 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 455,645,614 . The biggest common factor number is the GCF number.
So the greatest common factor 455,645,614 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 278/455, 319/645, 682/614

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 278/455, 319/645, 682/614?

Answer: LCM of Numerators as per given numbers 278/455, 319/645, 682/614 is

LCM of Numerators i.e. for 278,319,682 is 2749142

GCF of denominators i.e. for 455,645,614 is 1.

Thus, LCM of Fractions is 2749142.Finally, LCM of Fractions for 278/455, 319/645, 682/614 is 2749142.