Least Common Multiple of 895/52, 633/68, 216/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 895/52, 633/68, 216/214 quickly i.e. 20395260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 895/52, 633/68, 216/214 is 20395260.

LCM(895/52, 633/68, 216/214) = 20395260

LCM of 895/52, 633/68, 216/214

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 895/52,633/68,216/214

Given numbers are 895/52,633/68,216/214

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 895,633,216

Least Common Multiple of Numerators i.e. LCM of 895,633,216 is 40790520.

GCF of Denominators means GCF of 52,68,214 as per the given fractions.

GCF of 52,68,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 895,633,216

LCM of Fractions 895/52,633/68,216/214 is 20395260

3 895, 633, 216
895, 211, 72

∴ So the LCM of the given numbers is 3 x 895 x 211 x 72 = 40790520

Least Common Multiple of 895,633,216 with GCF Formula

Least Common Multiple of 895,633,216 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 895,633,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,633,216) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(895,633,216) x common factors =1 x 3 = 3

LCM(895,633,216) = ( 895 × 633 × 216 ) / 3

LCM(895,633,216) = 122371560 / 3

LCM(895,633,216) = 40790520


Lets's calculate GCF of 52,68,214

2 52, 68, 214
26, 34, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40790520/2

Therefore the LCM of Fractions 895/52,633/68,216/214 is 20395260

Greatest Common Factor of 52,68,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,68,214 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 52,68,214 . The biggest common factor number is the GCF number.
So the greatest common factor 52,68,214 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 895/52, 633/68, 216/214

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 895/52, 633/68, 216/214?

Answer: LCM of Numerators as per given numbers 895/52, 633/68, 216/214 is

LCM of Numerators i.e. for 895,633,216 is 40790520

GCF of denominators i.e. for 52,68,214 is 2.

Thus, LCM of Fractions is 20395260.Finally, LCM of Fractions for 895/52, 633/68, 216/214 is 20395260.