Least Common Multiple of 98/353, 928/610, 664/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/353, 928/610, 664/812 quickly i.e. 3774176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/353, 928/610, 664/812 is 3774176.

LCM(98/353, 928/610, 664/812) = 3774176

LCM of 98/353, 928/610, 664/812

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 98/353,928/610,664/812

Given numbers are 98/353,928/610,664/812

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 98,928,664

Least Common Multiple of Numerators i.e. LCM of 98,928,664 is 3774176.

GCF of Denominators means GCF of 353,610,812 as per the given fractions.

GCF of 353,610,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,928,664

LCM of Fractions 98/353,928/610,664/812 is 3774176

2 98, 928, 664
2 49, 464, 332
2 49, 232, 166
49, 116, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 49 x 116 x 83 = 3774176

Least Common Multiple of 98,928,664 with GCF Formula

Least Common Multiple of 98,928,664 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 98,928,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,928,664) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(98,928,664) x common factors =2 x 8 = 16

LCM(98,928,664) = ( 98 × 928 × 664 ) / 16

LCM(98,928,664) = 60386816 / 16

LCM(98,928,664) = 3774176


Lets's calculate GCF of 353,610,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3774176/1

Therefore the LCM of Fractions 98/353,928/610,664/812 is 3774176

Greatest Common Factor of 353,610,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,610,812 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 353,610,812 . The biggest common factor number is the GCF number.
So the greatest common factor 353,610,812 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 98/353, 928/610, 664/812

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 98/353, 928/610, 664/812?

Answer: LCM of Numerators as per given numbers 98/353, 928/610, 664/812 is

LCM of Numerators i.e. for 98,928,664 is 3774176

GCF of denominators i.e. for 353,610,812 is 1.

Thus, LCM of Fractions is 3774176.Finally, LCM of Fractions for 98/353, 928/610, 664/812 is 3774176.