Least Common Multiple of 67/548, 846/347, 274/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/548, 846/347, 274/716 quickly i.e. 7765434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/548, 846/347, 274/716 is 7765434.

LCM(67/548, 846/347, 274/716) = 7765434

LCM of 67/548, 846/347, 274/716

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 67/548,846/347,274/716

Given numbers are 67/548,846/347,274/716

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 67,846,274

Least Common Multiple of Numerators i.e. LCM of 67,846,274 is 7765434.

GCF of Denominators means GCF of 548,347,716 as per the given fractions.

GCF of 548,347,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,846,274

LCM of Fractions 67/548,846/347,274/716 is 7765434

2 67, 846, 274
67, 423, 137

∴ So the LCM of the given numbers is 2 x 67 x 423 x 137 = 7765434

Least Common Multiple of 67,846,274 with GCF Formula

Least Common Multiple of 67,846,274 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 67,846,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,846,274) = 1

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

GCF(67,846,274) x common factors =1 x 2 = 2

LCM(67,846,274) = ( 67 × 846 × 274 ) / 2

LCM(67,846,274) = 15530868 / 2

LCM(67,846,274) = 7765434


Lets's calculate GCF of 548,347,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7765434/1

Therefore the LCM of Fractions 67/548,846/347,274/716 is 7765434

Greatest Common Factor of 548,347,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,347,716 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 548,347,716 . The biggest common factor number is the GCF number.
So the greatest common factor 548,347,716 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 67/548, 846/347, 274/716

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 67/548, 846/347, 274/716?

Answer: LCM of Numerators as per given numbers 67/548, 846/347, 274/716 is

LCM of Numerators i.e. for 67,846,274 is 7765434

GCF of denominators i.e. for 548,347,716 is 1.

Thus, LCM of Fractions is 7765434.Finally, LCM of Fractions for 67/548, 846/347, 274/716 is 7765434.