Least Common Multiple of 430/464, 290/348, 301/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/464, 290/348, 301/737 quickly i.e. 87290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/464, 290/348, 301/737 is 87290.

LCM(430/464, 290/348, 301/737) = 87290

LCM of 430/464, 290/348, 301/737

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 430/464,290/348,301/737

Given numbers are 430/464,290/348,301/737

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 430,290,301

Least Common Multiple of Numerators i.e. LCM of 430,290,301 is 87290.

GCF of Denominators means GCF of 464,348,737 as per the given fractions.

GCF of 464,348,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,290,301

LCM of Fractions 430/464,290/348,301/737 is 87290

2 430, 290, 301
5 215, 145, 301
43 43, 29, 301
1, 29, 7

∴ So the LCM of the given numbers is 2 x 5 x 43 x 1 x 29 x 7 = 87290

Least Common Multiple of 430,290,301 with GCF Formula

Least Common Multiple of 430,290,301 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 430,290,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,290,301) = 1

common factors(in case of two or more numbers have common factors) = 430

GCF(430,290,301) x common factors =1 x 430 = 430

LCM(430,290,301) = ( 430 × 290 × 301 ) / 430

LCM(430,290,301) = 37534700 / 430

LCM(430,290,301) = 87290


Lets's calculate GCF of 464,348,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87290/1

Therefore the LCM of Fractions 430/464,290/348,301/737 is 87290

Greatest Common Factor of 464,348,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,348,737 By Matching Biggest Common Factor Method

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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 464,348,737 . The biggest common factor number is the GCF number.
So the greatest common factor 464,348,737 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 430/464, 290/348, 301/737

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 430/464, 290/348, 301/737?

Answer: LCM of Numerators as per given numbers 430/464, 290/348, 301/737 is

LCM of Numerators i.e. for 430,290,301 is 87290

GCF of denominators i.e. for 464,348,737 is 1.

Thus, LCM of Fractions is 87290.Finally, LCM of Fractions for 430/464, 290/348, 301/737 is 87290.