Least Common Multiple of 67/551, 72/508, 814/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/551, 72/508, 814/122 quickly i.e. 1963368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/551, 72/508, 814/122 is 1963368.

LCM(67/551, 72/508, 814/122) = 1963368

LCM of 67/551, 72/508, 814/122

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 67/551,72/508,814/122

Given numbers are 67/551,72/508,814/122

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 67,72,814

Least Common Multiple of Numerators i.e. LCM of 67,72,814 is 1963368.

GCF of Denominators means GCF of 551,508,122 as per the given fractions.

GCF of 551,508,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,72,814

LCM of Fractions 67/551,72/508,814/122 is 1963368

2 67, 72, 814
67, 36, 407

∴ So the LCM of the given numbers is 2 x 67 x 36 x 407 = 1963368

Least Common Multiple of 67,72,814 with GCF Formula

Least Common Multiple of 67,72,814 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 67,72,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,72,814) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(67,72,814) x common factors =1 x 2 = 2

LCM(67,72,814) = ( 67 × 72 × 814 ) / 2

LCM(67,72,814) = 3926736 / 2

LCM(67,72,814) = 1963368


Lets's calculate GCF of 551,508,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1963368/1

Therefore the LCM of Fractions 67/551,72/508,814/122 is 1963368

Greatest Common Factor of 551,508,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,508,122 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 551,508,122 . The biggest common factor number is the GCF number.
So the greatest common factor 551,508,122 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 67/551, 72/508, 814/122

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 67/551, 72/508, 814/122?

Answer: LCM of Numerators as per given numbers 67/551, 72/508, 814/122 is

LCM of Numerators i.e. for 67,72,814 is 1963368

GCF of denominators i.e. for 551,508,122 is 1.

Thus, LCM of Fractions is 1963368.Finally, LCM of Fractions for 67/551, 72/508, 814/122 is 1963368.