Least Common Multiple of 430/401, 144/642, 335/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/401, 144/642, 335/137 quickly i.e. 2074320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/401, 144/642, 335/137 is 2074320.

LCM(430/401, 144/642, 335/137) = 2074320

LCM of 430/401, 144/642, 335/137

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 430/401,144/642,335/137

Given numbers are 430/401,144/642,335/137

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 430,144,335

Least Common Multiple of Numerators i.e. LCM of 430,144,335 is 2074320.

GCF of Denominators means GCF of 401,642,137 as per the given fractions.

GCF of 401,642,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,144,335

LCM of Fractions 430/401,144/642,335/137 is 2074320

2 430, 144, 335
5 215, 72, 335
43, 72, 67

∴ So the LCM of the given numbers is 2 x 5 x 43 x 72 x 67 = 2074320

Least Common Multiple of 430,144,335 with GCF Formula

Least Common Multiple of 430,144,335 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 430,144,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,144,335) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(430,144,335) x common factors =1 x 10 = 10

LCM(430,144,335) = ( 430 × 144 × 335 ) / 10

LCM(430,144,335) = 20743200 / 10

LCM(430,144,335) = 2074320


Lets's calculate GCF of 401,642,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2074320/1

Therefore the LCM of Fractions 430/401,144/642,335/137 is 2074320

Greatest Common Factor of 401,642,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 401,642,137 By Matching Biggest Common Factor Method

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 401,642,137 . The biggest common factor number is the GCF number.
So the greatest common factor 401,642,137 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 430/401, 144/642, 335/137

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 430/401, 144/642, 335/137?

Answer: LCM of Numerators as per given numbers 430/401, 144/642, 335/137 is

LCM of Numerators i.e. for 430,144,335 is 2074320

GCF of denominators i.e. for 401,642,137 is 1.

Thus, LCM of Fractions is 2074320.Finally, LCM of Fractions for 430/401, 144/642, 335/137 is 2074320.