Least Common Multiple of 460/52, 856/1570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/52, 856/1570 quickly i.e. 49220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/52, 856/1570 is 49220.

LCM(460/52, 856/1570) = 49220

LCM of 460/52, 856/1570

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 460/52,856/1570

Given numbers are 460/52,856/1570

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 460,856

Least Common Multiple of Numerators i.e. LCM of 460,856 is 98440.

GCF of Denominators means GCF of 52,1570 as per the given fractions.

GCF of 52,1570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,856

LCM of Fractions 460/52,856/1570 is 49220

2 460, 856
2 230, 428
115, 214

∴ So the LCM of the given numbers is 2 x 2 x 115 x 214 = 98440

Least Common Multiple of 460,856 with GCF Formula

Least Common Multiple of 460,856 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 460,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,856) = 4

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

GCF(460,856) x common factors =4 x 1 = 4

LCM(460,856) = ( 460 × 856 ) / 4

LCM(460,856) = 393760 / 4

LCM(460,856) = 98440


Lets's calculate GCF of 52,1570

2 52, 1570
26, 785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98440/2

Therefore the LCM of Fractions 460/52,856/1570 is 49220

Greatest Common Factor of 52,1570 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,1570 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 1570

List of positive integer factors of 1570 that divides 1570 without a remainder.

1,2,5,10,157,314,785,1570

Greatest Common Factor

We found the factors 52,1570 . The biggest common factor number is the GCF number.
So the greatest common factor 52,1570 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 460/52, 856/1570

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 460/52, 856/1570?

Answer: LCM of Numerators as per given numbers 460/52, 856/1570 is

LCM of Numerators i.e. for 460,856 is 98440

GCF of denominators i.e. for 52,1570 is 2.

Thus, LCM of Fractions is 49220.Finally, LCM of Fractions for 460/52, 856/1570 is 49220.