Least Common Multiple of 42/810, 69/464, 430/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/810, 69/464, 430/548 quickly i.e. 103845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/810, 69/464, 430/548 is 103845.

LCM(42/810, 69/464, 430/548) = 103845

LCM of 42/810, 69/464, 430/548

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 42/810,69/464,430/548

Given numbers are 42/810,69/464,430/548

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 42,69,430

Least Common Multiple of Numerators i.e. LCM of 42,69,430 is 207690.

GCF of Denominators means GCF of 810,464,548 as per the given fractions.

GCF of 810,464,548 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,69,430

LCM of Fractions 42/810,69/464,430/548 is 103845

2 42, 69, 430
3 21, 69, 215
7, 23, 215

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 215 = 207690

Least Common Multiple of 42,69,430 with GCF Formula

Least Common Multiple of 42,69,430 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 42,69,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,69,430) = 1

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

GCF(42,69,430) x common factors =1 x 6 = 6

LCM(42,69,430) = ( 42 × 69 × 430 ) / 6

LCM(42,69,430) = 1246140 / 6

LCM(42,69,430) = 207690


Lets's calculate GCF of 810,464,548

2 810, 464, 548
405, 232, 274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207690/2

Therefore the LCM of Fractions 42/810,69/464,430/548 is 103845

Greatest Common Factor of 810,464,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,464,548 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 810,464,548 . The biggest common factor number is the GCF number.
So the greatest common factor 810,464,548 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 42/810, 69/464, 430/548

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 42/810, 69/464, 430/548?

Answer: LCM of Numerators as per given numbers 42/810, 69/464, 430/548 is

LCM of Numerators i.e. for 42,69,430 is 207690

GCF of denominators i.e. for 810,464,548 is 2.

Thus, LCM of Fractions is 103845.Finally, LCM of Fractions for 42/810, 69/464, 430/548 is 103845.