Least Common Multiple of 97/312, 58/658, 196/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/312, 58/658, 196/552 quickly i.e. 275674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/312, 58/658, 196/552 is 275674.

LCM(97/312, 58/658, 196/552) = 275674

LCM of 97/312, 58/658, 196/552

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 97/312,58/658,196/552

Given numbers are 97/312,58/658,196/552

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 97,58,196

Least Common Multiple of Numerators i.e. LCM of 97,58,196 is 551348.

GCF of Denominators means GCF of 312,658,552 as per the given fractions.

GCF of 312,658,552 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,58,196

LCM of Fractions 97/312,58/658,196/552 is 275674

2 97, 58, 196
97, 29, 98

∴ So the LCM of the given numbers is 2 x 97 x 29 x 98 = 551348

Least Common Multiple of 97,58,196 with GCF Formula

Least Common Multiple of 97,58,196 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 97,58,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,58,196) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,58,196) x common factors =1 x 2 = 2

LCM(97,58,196) = ( 97 × 58 × 196 ) / 2

LCM(97,58,196) = 1102696 / 2

LCM(97,58,196) = 551348


Lets's calculate GCF of 312,658,552

2 312, 658, 552
156, 329, 276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551348/2

Therefore the LCM of Fractions 97/312,58/658,196/552 is 275674

Greatest Common Factor of 312,658,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,658,552 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 658

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

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

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 312,658,552 . The biggest common factor number is the GCF number.
So the greatest common factor 312,658,552 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 97/312, 58/658, 196/552

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 97/312, 58/658, 196/552?

Answer: LCM of Numerators as per given numbers 97/312, 58/658, 196/552 is

LCM of Numerators i.e. for 97,58,196 is 551348

GCF of denominators i.e. for 312,658,552 is 2.

Thus, LCM of Fractions is 275674.Finally, LCM of Fractions for 97/312, 58/658, 196/552 is 275674.