Least Common Multiple of 45/598, 16/766, 526/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/598, 16/766, 526/456 quickly i.e. 94680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/598, 16/766, 526/456 is 94680.

LCM(45/598, 16/766, 526/456) = 94680

LCM of 45/598, 16/766, 526/456

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 45/598,16/766,526/456

Given numbers are 45/598,16/766,526/456

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 45,16,526

Least Common Multiple of Numerators i.e. LCM of 45,16,526 is 189360.

GCF of Denominators means GCF of 598,766,456 as per the given fractions.

GCF of 598,766,456 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,16,526

LCM of Fractions 45/598,16/766,526/456 is 94680

2 45, 16, 526
45, 8, 263

∴ So the LCM of the given numbers is 2 x 45 x 8 x 263 = 189360

Least Common Multiple of 45,16,526 with GCF Formula

Least Common Multiple of 45,16,526 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 45,16,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,16,526) = 1

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

GCF(45,16,526) x common factors =1 x 2 = 2

LCM(45,16,526) = ( 45 × 16 × 526 ) / 2

LCM(45,16,526) = 378720 / 2

LCM(45,16,526) = 189360


Lets's calculate GCF of 598,766,456

2 598, 766, 456
299, 383, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189360/2

Therefore the LCM of Fractions 45/598,16/766,526/456 is 94680

Greatest Common Factor of 598,766,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,766,456 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 598,766,456 . The biggest common factor number is the GCF number.
So the greatest common factor 598,766,456 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 45/598, 16/766, 526/456

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 45/598, 16/766, 526/456?

Answer: LCM of Numerators as per given numbers 45/598, 16/766, 526/456 is

LCM of Numerators i.e. for 45,16,526 is 189360

GCF of denominators i.e. for 598,766,456 is 2.

Thus, LCM of Fractions is 94680.Finally, LCM of Fractions for 45/598, 16/766, 526/456 is 94680.