Least Common Multiple of 430/51, 475/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 430/51, 475/850 quickly i.e. 40850/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 430/51, 475/850 is 40850/17.

LCM(430/51, 475/850) = 40850/17

LCM of 430/51, 475/850

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 430/51,475/850

Given numbers are 430/51,475/850

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 430,475

Least Common Multiple of Numerators i.e. LCM of 430,475 is 40850.

GCF of Denominators means GCF of 51,850 as per the given fractions.

GCF of 51,850 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 430,475

LCM of Fractions 430/51,475/850 is 40850/17

5 430, 475
86, 95

∴ So the LCM of the given numbers is 5 x 86 x 95 = 40850

Least Common Multiple of 430,475 with GCF Formula

Least Common Multiple of 430,475 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 430,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(430,475) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(430,475) x common factors =5 x 1 = 5

LCM(430,475) = ( 430 × 475 ) / 5

LCM(430,475) = 204250 / 5

LCM(430,475) = 40850


Lets's calculate GCF of 51,850

17 51, 850
3, 50

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40850/17

Therefore the LCM of Fractions 430/51,475/850 is 40850/17

Greatest Common Factor of 51,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,850 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 51,850 . The biggest common factor number is the GCF number.
So the greatest common factor 51,850 is 17.


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 430/51, 475/850

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 430/51, 475/850?

Answer: LCM of Numerators as per given numbers 430/51, 475/850 is

LCM of Numerators i.e. for 430,475 is 40850

GCF of denominators i.e. for 51,850 is 17.

Thus, LCM of Fractions is 40850/17.Finally, LCM of Fractions for 430/51, 475/850 is 40850/17.