Least Common Multiple of 67/711, 551/740, 551/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/711, 551/740, 551/276 quickly i.e. 36917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/711, 551/740, 551/276 is 36917.

LCM(67/711, 551/740, 551/276) = 36917

LCM of 67/711, 551/740, 551/276

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 67/711,551/740,551/276

Given numbers are 67/711,551/740,551/276

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 67,551,551

Least Common Multiple of Numerators i.e. LCM of 67,551,551 is 36917.

GCF of Denominators means GCF of 711,740,276 as per the given fractions.

GCF of 711,740,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,551,551

LCM of Fractions 67/711,551/740,551/276 is 36917

19 67, 551, 551
29 67, 29, 29
67, 1, 1

∴ So the LCM of the given numbers is 19 x 29 x 67 x 1 x 1 = 36917

Least Common Multiple of 67,551,551 with GCF Formula

Least Common Multiple of 67,551,551 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 67,551,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,551,551) = 1

common factors(in case of two or more numbers have common factors) = 551

GCF(67,551,551) x common factors =1 x 551 = 551

LCM(67,551,551) = ( 67 × 551 × 551 ) / 551

LCM(67,551,551) = 20341267 / 551

LCM(67,551,551) = 36917


Lets's calculate GCF of 711,740,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36917/1

Therefore the LCM of Fractions 67/711,551/740,551/276 is 36917

Greatest Common Factor of 711,740,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,740,276 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 711,740,276 . The biggest common factor number is the GCF number.
So the greatest common factor 711,740,276 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 67/711, 551/740, 551/276

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 67/711, 551/740, 551/276?

Answer: LCM of Numerators as per given numbers 67/711, 551/740, 551/276 is

LCM of Numerators i.e. for 67,551,551 is 36917

GCF of denominators i.e. for 711,740,276 is 1.

Thus, LCM of Fractions is 36917.Finally, LCM of Fractions for 67/711, 551/740, 551/276 is 36917.