Least Common Multiple of 90/753, 51/385, 598/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/753, 51/385, 598/164 quickly i.e. 457470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/753, 51/385, 598/164 is 457470.

LCM(90/753, 51/385, 598/164) = 457470

LCM of 90/753, 51/385, 598/164

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 90/753,51/385,598/164

Given numbers are 90/753,51/385,598/164

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 90,51,598

Least Common Multiple of Numerators i.e. LCM of 90,51,598 is 457470.

GCF of Denominators means GCF of 753,385,164 as per the given fractions.

GCF of 753,385,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,51,598

LCM of Fractions 90/753,51/385,598/164 is 457470

2 90, 51, 598
3 45, 51, 299
15, 17, 299

∴ So the LCM of the given numbers is 2 x 3 x 15 x 17 x 299 = 457470

Least Common Multiple of 90,51,598 with GCF Formula

Least Common Multiple of 90,51,598 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 90,51,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,51,598) = 1

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

GCF(90,51,598) x common factors =1 x 6 = 6

LCM(90,51,598) = ( 90 × 51 × 598 ) / 6

LCM(90,51,598) = 2744820 / 6

LCM(90,51,598) = 457470


Lets's calculate GCF of 753,385,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457470/1

Therefore the LCM of Fractions 90/753,51/385,598/164 is 457470

Greatest Common Factor of 753,385,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,385,164 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 753,385,164 . The biggest common factor number is the GCF number.
So the greatest common factor 753,385,164 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 90/753, 51/385, 598/164

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 90/753, 51/385, 598/164?

Answer: LCM of Numerators as per given numbers 90/753, 51/385, 598/164 is

LCM of Numerators i.e. for 90,51,598 is 457470

GCF of denominators i.e. for 753,385,164 is 1.

Thus, LCM of Fractions is 457470.Finally, LCM of Fractions for 90/753, 51/385, 598/164 is 457470.