Least Common Multiple of 78/265, 597/553, 554/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/265, 597/553, 554/350 quickly i.e. 4299594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/265, 597/553, 554/350 is 4299594.

LCM(78/265, 597/553, 554/350) = 4299594

LCM of 78/265, 597/553, 554/350

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 78/265,597/553,554/350

Given numbers are 78/265,597/553,554/350

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 78,597,554

Least Common Multiple of Numerators i.e. LCM of 78,597,554 is 4299594.

GCF of Denominators means GCF of 265,553,350 as per the given fractions.

GCF of 265,553,350 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,597,554

LCM of Fractions 78/265,597/553,554/350 is 4299594

2 78, 597, 554
3 39, 597, 277
13, 199, 277

∴ So the LCM of the given numbers is 2 x 3 x 13 x 199 x 277 = 4299594

Least Common Multiple of 78,597,554 with GCF Formula

Least Common Multiple of 78,597,554 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 78,597,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,597,554) = 1

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

GCF(78,597,554) x common factors =1 x 6 = 6

LCM(78,597,554) = ( 78 × 597 × 554 ) / 6

LCM(78,597,554) = 25797564 / 6

LCM(78,597,554) = 4299594


Lets's calculate GCF of 265,553,350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4299594/1

Therefore the LCM of Fractions 78/265,597/553,554/350 is 4299594

Greatest Common Factor of 265,553,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,553,350 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 265,553,350 . The biggest common factor number is the GCF number.
So the greatest common factor 265,553,350 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 78/265, 597/553, 554/350

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 78/265, 597/553, 554/350?

Answer: LCM of Numerators as per given numbers 78/265, 597/553, 554/350 is

LCM of Numerators i.e. for 78,597,554 is 4299594

GCF of denominators i.e. for 265,553,350 is 1.

Thus, LCM of Fractions is 4299594.Finally, LCM of Fractions for 78/265, 597/553, 554/350 is 4299594.