Least Common Multiple of 456/84, 134/48, 860/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/84, 134/48, 860/570 quickly i.e. 1094780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/84, 134/48, 860/570 is 1094780.

LCM(456/84, 134/48, 860/570) = 1094780

LCM of 456/84, 134/48, 860/570

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 456/84,134/48,860/570

Given numbers are 456/84,134/48,860/570

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 456,134,860

Least Common Multiple of Numerators i.e. LCM of 456,134,860 is 6568680.

GCF of Denominators means GCF of 84,48,570 as per the given fractions.

GCF of 84,48,570 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,134,860

LCM of Fractions 456/84,134/48,860/570 is 1094780

2 456, 134, 860
2 228, 67, 430
114, 67, 215

∴ So the LCM of the given numbers is 2 x 2 x 114 x 67 x 215 = 6568680

Least Common Multiple of 456,134,860 with GCF Formula

Least Common Multiple of 456,134,860 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 456,134,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,134,860) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(456,134,860) x common factors =2 x 4 = 8

LCM(456,134,860) = ( 456 × 134 × 860 ) / 8

LCM(456,134,860) = 52549440 / 8

LCM(456,134,860) = 6568680


Lets's calculate GCF of 84,48,570

2 84, 48, 570
3 42, 24, 285
14, 8, 95

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6568680/6

Therefore the LCM of Fractions 456/84,134/48,860/570 is 1094780

Greatest Common Factor of 84,48,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,48,570 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 84,48,570 . The biggest common factor number is the GCF number.
So the greatest common factor 84,48,570 is 6.


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 456/84, 134/48, 860/570

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 456/84, 134/48, 860/570?

Answer: LCM of Numerators as per given numbers 456/84, 134/48, 860/570 is

LCM of Numerators i.e. for 456,134,860 is 6568680

GCF of denominators i.e. for 84,48,570 is 6.

Thus, LCM of Fractions is 1094780.Finally, LCM of Fractions for 456/84, 134/48, 860/570 is 1094780.