Least Common Multiple of 97/322, 312/304, 510/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/322, 312/304, 510/658 quickly i.e. 1286220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/322, 312/304, 510/658 is 1286220.

LCM(97/322, 312/304, 510/658) = 1286220

LCM of 97/322, 312/304, 510/658

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 97/322,312/304,510/658

Given numbers are 97/322,312/304,510/658

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 97,312,510

Least Common Multiple of Numerators i.e. LCM of 97,312,510 is 2572440.

GCF of Denominators means GCF of 322,304,658 as per the given fractions.

GCF of 322,304,658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,312,510

LCM of Fractions 97/322,312/304,510/658 is 1286220

2 97, 312, 510
3 97, 156, 255
97, 52, 85

∴ So the LCM of the given numbers is 2 x 3 x 97 x 52 x 85 = 2572440

Least Common Multiple of 97,312,510 with GCF Formula

Least Common Multiple of 97,312,510 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 97,312,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,312,510) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(97,312,510) x common factors =1 x 6 = 6

LCM(97,312,510) = ( 97 × 312 × 510 ) / 6

LCM(97,312,510) = 15434640 / 6

LCM(97,312,510) = 2572440


Lets's calculate GCF of 322,304,658

2 322, 304, 658
161, 152, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2572440/2

Therefore the LCM of Fractions 97/322,312/304,510/658 is 1286220

Greatest Common Factor of 322,304,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,304,658 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 322,304,658 . The biggest common factor number is the GCF number.
So the greatest common factor 322,304,658 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 97/322, 312/304, 510/658

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 97/322, 312/304, 510/658?

Answer: LCM of Numerators as per given numbers 97/322, 312/304, 510/658 is

LCM of Numerators i.e. for 97,312,510 is 2572440

GCF of denominators i.e. for 322,304,658 is 2.

Thus, LCM of Fractions is 1286220.Finally, LCM of Fractions for 97/322, 312/304, 510/658 is 1286220.