Least Common Multiple of 67/478, 616/506, 549/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/478, 616/506, 549/911 quickly i.e. 22658328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/478, 616/506, 549/911 is 22658328.

LCM(67/478, 616/506, 549/911) = 22658328

LCM of 67/478, 616/506, 549/911

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 67/478,616/506,549/911

Given numbers are 67/478,616/506,549/911

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 67,616,549

Least Common Multiple of Numerators i.e. LCM of 67,616,549 is 22658328.

GCF of Denominators means GCF of 478,506,911 as per the given fractions.

GCF of 478,506,911 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,616,549

LCM of Fractions 67/478,616/506,549/911 is 22658328

Given numbers has no common factors except 1. So, there LCM is their product i.e 22658328

Least Common Multiple of 67,616,549 with GCF Formula

Least Common Multiple of 67,616,549 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 67,616,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,616,549) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(67,616,549) x common factors =1 x 1 = 1

LCM(67,616,549) = ( 67 × 616 × 549 ) / 1

LCM(67,616,549) = 22658328 / 1

LCM(67,616,549) = 22658328


Lets's calculate GCF of 478,506,911

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22658328/1

Therefore the LCM of Fractions 67/478,616/506,549/911 is 22658328

Greatest Common Factor of 478,506,911 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,506,911 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Greatest Common Factor

We found the factors 478,506,911 . The biggest common factor number is the GCF number.
So the greatest common factor 478,506,911 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 67/478, 616/506, 549/911

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 67/478, 616/506, 549/911?

Answer: LCM of Numerators as per given numbers 67/478, 616/506, 549/911 is

LCM of Numerators i.e. for 67,616,549 is 22658328

GCF of denominators i.e. for 478,506,911 is 1.

Thus, LCM of Fractions is 22658328.Finally, LCM of Fractions for 67/478, 616/506, 549/911 is 22658328.