Least Common Multiple of 90/149, 810/105, 335/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/149, 810/105, 335/919 quickly i.e. 54270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/149, 810/105, 335/919 is 54270.

LCM(90/149, 810/105, 335/919) = 54270

LCM of 90/149, 810/105, 335/919

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 90/149,810/105,335/919

Given numbers are 90/149,810/105,335/919

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 90,810,335

Least Common Multiple of Numerators i.e. LCM of 90,810,335 is 54270.

GCF of Denominators means GCF of 149,105,919 as per the given fractions.

GCF of 149,105,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,810,335

LCM of Fractions 90/149,810/105,335/919 is 54270

2 90, 810, 335
3 45, 405, 335
3 15, 135, 335
5 5, 45, 335
1, 9, 67

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 9 x 67 = 54270

Least Common Multiple of 90,810,335 with GCF Formula

Least Common Multiple of 90,810,335 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 90,810,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,810,335) = 5

common factors(in case of two or more numbers have common factors) = 90

GCF(90,810,335) x common factors =5 x 90 = 450

LCM(90,810,335) = ( 90 × 810 × 335 ) / 450

LCM(90,810,335) = 24421500 / 450

LCM(90,810,335) = 54270


Lets's calculate GCF of 149,105,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54270/1

Therefore the LCM of Fractions 90/149,810/105,335/919 is 54270

Greatest Common Factor of 149,105,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,105,919 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 149,105,919 . The biggest common factor number is the GCF number.
So the greatest common factor 149,105,919 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 90/149, 810/105, 335/919

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 90/149, 810/105, 335/919?

Answer: LCM of Numerators as per given numbers 90/149, 810/105, 335/919 is

LCM of Numerators i.e. for 90,810,335 is 54270

GCF of denominators i.e. for 149,105,919 is 1.

Thus, LCM of Fractions is 54270.Finally, LCM of Fractions for 90/149, 810/105, 335/919 is 54270.