Least Common Multiple of 90/166, 59/546, 914/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/166, 59/546, 914/907 quickly i.e. 2426670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/166, 59/546, 914/907 is 2426670.

LCM(90/166, 59/546, 914/907) = 2426670

LCM of 90/166, 59/546, 914/907

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 90/166,59/546,914/907

Given numbers are 90/166,59/546,914/907

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 90,59,914

Least Common Multiple of Numerators i.e. LCM of 90,59,914 is 2426670.

GCF of Denominators means GCF of 166,546,907 as per the given fractions.

GCF of 166,546,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,59,914

LCM of Fractions 90/166,59/546,914/907 is 2426670

2 90, 59, 914
45, 59, 457

∴ So the LCM of the given numbers is 2 x 45 x 59 x 457 = 2426670

Least Common Multiple of 90,59,914 with GCF Formula

Least Common Multiple of 90,59,914 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 90,59,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,59,914) = 1

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

GCF(90,59,914) x common factors =1 x 2 = 2

LCM(90,59,914) = ( 90 × 59 × 914 ) / 2

LCM(90,59,914) = 4853340 / 2

LCM(90,59,914) = 2426670


Lets's calculate GCF of 166,546,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2426670/1

Therefore the LCM of Fractions 90/166,59/546,914/907 is 2426670

Greatest Common Factor of 166,546,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,546,907 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 166,546,907 . The biggest common factor number is the GCF number.
So the greatest common factor 166,546,907 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 90/166, 59/546, 914/907

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 90/166, 59/546, 914/907?

Answer: LCM of Numerators as per given numbers 90/166, 59/546, 914/907 is

LCM of Numerators i.e. for 90,59,914 is 2426670

GCF of denominators i.e. for 166,546,907 is 1.

Thus, LCM of Fractions is 2426670.Finally, LCM of Fractions for 90/166, 59/546, 914/907 is 2426670.