Least Common Multiple of 4216/430, 6076/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4216/430, 6076/852 quickly i.e. 103292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4216/430, 6076/852 is 103292.

LCM(4216/430, 6076/852) = 103292

LCM of 4216/430, 6076/852

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 4216/430,6076/852

Given numbers are 4216/430,6076/852

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 4216,6076

Least Common Multiple of Numerators i.e. LCM of 4216,6076 is 206584.

GCF of Denominators means GCF of 430,852 as per the given fractions.

GCF of 430,852 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4216,6076

LCM of Fractions 4216/430,6076/852 is 103292

2 4216, 6076
2 2108, 3038
31 1054, 1519
34, 49

∴ So the LCM of the given numbers is 2 x 2 x 31 x 34 x 49 = 206584

Least Common Multiple of 4216,6076 with GCF Formula

Least Common Multiple of 4216,6076 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 4216,6076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4216,6076) = 124

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

GCF(4216,6076) x common factors =124 x 1 = 124

LCM(4216,6076) = ( 4216 × 6076 ) / 124

LCM(4216,6076) = 25616416 / 124

LCM(4216,6076) = 206584


Lets's calculate GCF of 430,852

2 430, 852
215, 426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206584/2

Therefore the LCM of Fractions 4216/430,6076/852 is 103292

Greatest Common Factor of 430,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,852 By Matching Biggest Common Factor Method

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 430,852 . The biggest common factor number is the GCF number.
So the greatest common factor 430,852 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 4216/430, 6076/852

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 4216/430, 6076/852?

Answer: LCM of Numerators as per given numbers 4216/430, 6076/852 is

LCM of Numerators i.e. for 4216,6076 is 206584

GCF of denominators i.e. for 430,852 is 2.

Thus, LCM of Fractions is 103292.Finally, LCM of Fractions for 4216/430, 6076/852 is 103292.