Least Common Multiple of 352/63, 470/98, 284/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 352/63, 470/98, 284/862 quickly i.e. 5873120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 352/63, 470/98, 284/862 is 5873120.

LCM(352/63, 470/98, 284/862) = 5873120

LCM of 352/63, 470/98, 284/862

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 352/63,470/98,284/862

Given numbers are 352/63,470/98,284/862

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 352,470,284

Least Common Multiple of Numerators i.e. LCM of 352,470,284 is 5873120.

GCF of Denominators means GCF of 63,98,862 as per the given fractions.

GCF of 63,98,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 352,470,284

LCM of Fractions 352/63,470/98,284/862 is 5873120

2 352, 470, 284
2 176, 235, 142
88, 235, 71

∴ So the LCM of the given numbers is 2 x 2 x 88 x 235 x 71 = 5873120

Least Common Multiple of 352,470,284 with GCF Formula

Least Common Multiple of 352,470,284 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 352,470,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,470,284) = 2

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

GCF(352,470,284) x common factors =2 x 4 = 8

LCM(352,470,284) = ( 352 × 470 × 284 ) / 8

LCM(352,470,284) = 46984960 / 8

LCM(352,470,284) = 5873120


Lets's calculate GCF of 63,98,862

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5873120/1

Therefore the LCM of Fractions 352/63,470/98,284/862 is 5873120

Greatest Common Factor of 63,98,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,98,862 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 63,98,862 . The biggest common factor number is the GCF number.
So the greatest common factor 63,98,862 is 1.


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 352/63, 470/98, 284/862

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 352/63, 470/98, 284/862?

Answer: LCM of Numerators as per given numbers 352/63, 470/98, 284/862 is

LCM of Numerators i.e. for 352,470,284 is 5873120

GCF of denominators i.e. for 63,98,862 is 1.

Thus, LCM of Fractions is 5873120.Finally, LCM of Fractions for 352/63, 470/98, 284/862 is 5873120.