Least Common Multiple of 65/452, 106/343, 848/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/452, 106/343, 848/639 quickly i.e. 55120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/452, 106/343, 848/639 is 55120.

LCM(65/452, 106/343, 848/639) = 55120

LCM of 65/452, 106/343, 848/639

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 65/452,106/343,848/639

Given numbers are 65/452,106/343,848/639

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 65,106,848

Least Common Multiple of Numerators i.e. LCM of 65,106,848 is 55120.

GCF of Denominators means GCF of 452,343,639 as per the given fractions.

GCF of 452,343,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,106,848

LCM of Fractions 65/452,106/343,848/639 is 55120

2 65, 106, 848
53 65, 53, 424
65, 1, 8

∴ So the LCM of the given numbers is 2 x 53 x 65 x 1 x 8 = 55120

Least Common Multiple of 65,106,848 with GCF Formula

Least Common Multiple of 65,106,848 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 65,106,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,106,848) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(65,106,848) x common factors =1 x 106 = 106

LCM(65,106,848) = ( 65 × 106 × 848 ) / 106

LCM(65,106,848) = 5842720 / 106

LCM(65,106,848) = 55120


Lets's calculate GCF of 452,343,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55120/1

Therefore the LCM of Fractions 65/452,106/343,848/639 is 55120

Greatest Common Factor of 452,343,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,343,639 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 452,343,639 . The biggest common factor number is the GCF number.
So the greatest common factor 452,343,639 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 65/452, 106/343, 848/639

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 65/452, 106/343, 848/639?

Answer: LCM of Numerators as per given numbers 65/452, 106/343, 848/639 is

LCM of Numerators i.e. for 65,106,848 is 55120

GCF of denominators i.e. for 452,343,639 is 1.

Thus, LCM of Fractions is 55120.Finally, LCM of Fractions for 65/452, 106/343, 848/639 is 55120.