Least Common Multiple of 54/548, 708/782, 221/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/548, 708/782, 221/754 quickly i.e. 704106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/548, 708/782, 221/754 is 704106.

LCM(54/548, 708/782, 221/754) = 704106

LCM of 54/548, 708/782, 221/754

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 54/548,708/782,221/754

Given numbers are 54/548,708/782,221/754

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 54,708,221

Least Common Multiple of Numerators i.e. LCM of 54,708,221 is 1408212.

GCF of Denominators means GCF of 548,782,754 as per the given fractions.

GCF of 548,782,754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,708,221

LCM of Fractions 54/548,708/782,221/754 is 704106

2 54, 708, 221
3 27, 354, 221
9, 118, 221

∴ So the LCM of the given numbers is 2 x 3 x 9 x 118 x 221 = 1408212

Least Common Multiple of 54,708,221 with GCF Formula

Least Common Multiple of 54,708,221 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 54,708,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,708,221) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,708,221) x common factors =1 x 6 = 6

LCM(54,708,221) = ( 54 × 708 × 221 ) / 6

LCM(54,708,221) = 8449272 / 6

LCM(54,708,221) = 1408212


Lets's calculate GCF of 548,782,754

2 548, 782, 754
274, 391, 377

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1408212/2

Therefore the LCM of Fractions 54/548,708/782,221/754 is 704106

Greatest Common Factor of 548,782,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,782,754 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 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 548,782,754 . The biggest common factor number is the GCF number.
So the greatest common factor 548,782,754 is 2.


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 54/548, 708/782, 221/754

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 54/548, 708/782, 221/754?

Answer: LCM of Numerators as per given numbers 54/548, 708/782, 221/754 is

LCM of Numerators i.e. for 54,708,221 is 1408212

GCF of denominators i.e. for 548,782,754 is 2.

Thus, LCM of Fractions is 704106.Finally, LCM of Fractions for 54/548, 708/782, 221/754 is 704106.