Least Common Multiple of 76/348, 69/980, 486/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/348, 69/980, 486/671 quickly i.e. 424764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/348, 69/980, 486/671 is 424764.

LCM(76/348, 69/980, 486/671) = 424764

LCM of 76/348, 69/980, 486/671

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 76/348,69/980,486/671

Given numbers are 76/348,69/980,486/671

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 76,69,486

Least Common Multiple of Numerators i.e. LCM of 76,69,486 is 424764.

GCF of Denominators means GCF of 348,980,671 as per the given fractions.

GCF of 348,980,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,69,486

LCM of Fractions 76/348,69/980,486/671 is 424764

2 76, 69, 486
3 38, 69, 243
38, 23, 81

∴ So the LCM of the given numbers is 2 x 3 x 38 x 23 x 81 = 424764

Least Common Multiple of 76,69,486 with GCF Formula

Least Common Multiple of 76,69,486 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 76,69,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,69,486) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(76,69,486) x common factors =1 x 6 = 6

LCM(76,69,486) = ( 76 × 69 × 486 ) / 6

LCM(76,69,486) = 2548584 / 6

LCM(76,69,486) = 424764


Lets's calculate GCF of 348,980,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424764/1

Therefore the LCM of Fractions 76/348,69/980,486/671 is 424764

Greatest Common Factor of 348,980,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,980,671 By Matching Biggest Common Factor Method

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 348,980,671 . The biggest common factor number is the GCF number.
So the greatest common factor 348,980,671 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 76/348, 69/980, 486/671

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 76/348, 69/980, 486/671?

Answer: LCM of Numerators as per given numbers 76/348, 69/980, 486/671 is

LCM of Numerators i.e. for 76,69,486 is 424764

GCF of denominators i.e. for 348,980,671 is 1.

Thus, LCM of Fractions is 424764.Finally, LCM of Fractions for 76/348, 69/980, 486/671 is 424764.