Least Common Multiple of 90/708, 437/459, 754/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/708, 437/459, 754/423 quickly i.e. 4942470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/708, 437/459, 754/423 is 4942470.

LCM(90/708, 437/459, 754/423) = 4942470

LCM of 90/708, 437/459, 754/423

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 90/708,437/459,754/423

Given numbers are 90/708,437/459,754/423

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 90,437,754

Least Common Multiple of Numerators i.e. LCM of 90,437,754 is 14827410.

GCF of Denominators means GCF of 708,459,423 as per the given fractions.

GCF of 708,459,423 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,437,754

LCM of Fractions 90/708,437/459,754/423 is 4942470

2 90, 437, 754
45, 437, 377

∴ So the LCM of the given numbers is 2 x 45 x 437 x 377 = 14827410

Least Common Multiple of 90,437,754 with GCF Formula

Least Common Multiple of 90,437,754 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 90,437,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,437,754) = 1

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

GCF(90,437,754) x common factors =1 x 2 = 2

LCM(90,437,754) = ( 90 × 437 × 754 ) / 2

LCM(90,437,754) = 29654820 / 2

LCM(90,437,754) = 14827410


Lets's calculate GCF of 708,459,423

3 708, 459, 423
236, 153, 141

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14827410/3

Therefore the LCM of Fractions 90/708,437/459,754/423 is 4942470

Greatest Common Factor of 708,459,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,459,423 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 708,459,423 . The biggest common factor number is the GCF number.
So the greatest common factor 708,459,423 is 3.


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 90/708, 437/459, 754/423

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 90/708, 437/459, 754/423?

Answer: LCM of Numerators as per given numbers 90/708, 437/459, 754/423 is

LCM of Numerators i.e. for 90,437,754 is 14827410

GCF of denominators i.e. for 708,459,423 is 3.

Thus, LCM of Fractions is 4942470.Finally, LCM of Fractions for 90/708, 437/459, 754/423 is 4942470.