Least Common Multiple of 4760/458, 3472/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4760/458, 3472/700 quickly i.e. 147560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4760/458, 3472/700 is 147560.

LCM(4760/458, 3472/700) = 147560

LCM of 4760/458, 3472/700

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 4760/458,3472/700

Given numbers are 4760/458,3472/700

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 4760,3472

Least Common Multiple of Numerators i.e. LCM of 4760,3472 is 295120.

GCF of Denominators means GCF of 458,700 as per the given fractions.

GCF of 458,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4760,3472

LCM of Fractions 4760/458,3472/700 is 147560

2 4760, 3472
2 2380, 1736
2 1190, 868
7 595, 434
85, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 85 x 62 = 295120

Least Common Multiple of 4760,3472 with GCF Formula

Least Common Multiple of 4760,3472 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 4760,3472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4760,3472) = 56

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

GCF(4760,3472) x common factors =56 x 1 = 56

LCM(4760,3472) = ( 4760 × 3472 ) / 56

LCM(4760,3472) = 16526720 / 56

LCM(4760,3472) = 295120


Lets's calculate GCF of 458,700

2 458, 700
229, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295120/2

Therefore the LCM of Fractions 4760/458,3472/700 is 147560

Greatest Common Factor of 458,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,700 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 458,700 . The biggest common factor number is the GCF number.
So the greatest common factor 458,700 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 4760/458, 3472/700

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 4760/458, 3472/700?

Answer: LCM of Numerators as per given numbers 4760/458, 3472/700 is

LCM of Numerators i.e. for 4760,3472 is 295120

GCF of denominators i.e. for 458,700 is 2.

Thus, LCM of Fractions is 147560.Finally, LCM of Fractions for 4760/458, 3472/700 is 147560.