Least Common Multiple of 355/68, 9210/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 355/68, 9210/530 quickly i.e. 326955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/68, 9210/530 is 326955.

LCM(355/68, 9210/530) = 326955

LCM of 355/68, 9210/530

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 355/68,9210/530

Given numbers are 355/68,9210/530

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 355,9210

Least Common Multiple of Numerators i.e. LCM of 355,9210 is 653910.

GCF of Denominators means GCF of 68,530 as per the given fractions.

GCF of 68,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,9210

LCM of Fractions 355/68,9210/530 is 326955

5 355, 9210
71, 1842

∴ So the LCM of the given numbers is 5 x 71 x 1842 = 653910

Least Common Multiple of 355,9210 with GCF Formula

Least Common Multiple of 355,9210 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 355,9210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,9210) = 5

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

GCF(355,9210) x common factors =5 x 1 = 5

LCM(355,9210) = ( 355 × 9210 ) / 5

LCM(355,9210) = 3269550 / 5

LCM(355,9210) = 653910


Lets's calculate GCF of 68,530

2 68, 530
34, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653910/2

Therefore the LCM of Fractions 355/68,9210/530 is 326955

Greatest Common Factor of 68,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,530 By Matching Biggest Common Factor Method

Factors of 68

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

1,2,4,17,34,68

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 68,530 . The biggest common factor number is the GCF number.
So the greatest common factor 68,530 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 355/68, 9210/530

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 355/68, 9210/530?

Answer: LCM of Numerators as per given numbers 355/68, 9210/530 is

LCM of Numerators i.e. for 355,9210 is 653910

GCF of denominators i.e. for 68,530 is 2.

Thus, LCM of Fractions is 326955.Finally, LCM of Fractions for 355/68, 9210/530 is 326955.