Least Common Multiple of 67/411, 567/544, 980/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/411, 567/544, 980/296 quickly i.e. 5318460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/411, 567/544, 980/296 is 5318460.

LCM(67/411, 567/544, 980/296) = 5318460

LCM of 67/411, 567/544, 980/296

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 67/411,567/544,980/296

Given numbers are 67/411,567/544,980/296

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 67,567,980

Least Common Multiple of Numerators i.e. LCM of 67,567,980 is 5318460.

GCF of Denominators means GCF of 411,544,296 as per the given fractions.

GCF of 411,544,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,567,980

LCM of Fractions 67/411,567/544,980/296 is 5318460

7 67, 567, 980
67, 81, 140

∴ So the LCM of the given numbers is 7 x 67 x 81 x 140 = 5318460

Least Common Multiple of 67,567,980 with GCF Formula

Least Common Multiple of 67,567,980 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 67,567,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,567,980) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(67,567,980) x common factors =1 x 7 = 7

LCM(67,567,980) = ( 67 × 567 × 980 ) / 7

LCM(67,567,980) = 37229220 / 7

LCM(67,567,980) = 5318460


Lets's calculate GCF of 411,544,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5318460/1

Therefore the LCM of Fractions 67/411,567/544,980/296 is 5318460

Greatest Common Factor of 411,544,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,544,296 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 411,544,296 . The biggest common factor number is the GCF number.
So the greatest common factor 411,544,296 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 67/411, 567/544, 980/296

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 67/411, 567/544, 980/296?

Answer: LCM of Numerators as per given numbers 67/411, 567/544, 980/296 is

LCM of Numerators i.e. for 67,567,980 is 5318460

GCF of denominators i.e. for 411,544,296 is 1.

Thus, LCM of Fractions is 5318460.Finally, LCM of Fractions for 67/411, 567/544, 980/296 is 5318460.