Least Common Multiple of 98/692, 723/985, 648/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/692, 723/985, 648/444 quickly i.e. 7652232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/692, 723/985, 648/444 is 7652232.

LCM(98/692, 723/985, 648/444) = 7652232

LCM of 98/692, 723/985, 648/444

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 98/692,723/985,648/444

Given numbers are 98/692,723/985,648/444

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 98,723,648

Least Common Multiple of Numerators i.e. LCM of 98,723,648 is 7652232.

GCF of Denominators means GCF of 692,985,444 as per the given fractions.

GCF of 692,985,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,723,648

LCM of Fractions 98/692,723/985,648/444 is 7652232

2 98, 723, 648
3 49, 723, 324
49, 241, 108

∴ So the LCM of the given numbers is 2 x 3 x 49 x 241 x 108 = 7652232

Least Common Multiple of 98,723,648 with GCF Formula

Least Common Multiple of 98,723,648 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 98,723,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,723,648) = 1

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

GCF(98,723,648) x common factors =1 x 6 = 6

LCM(98,723,648) = ( 98 × 723 × 648 ) / 6

LCM(98,723,648) = 45913392 / 6

LCM(98,723,648) = 7652232


Lets's calculate GCF of 692,985,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7652232/1

Therefore the LCM of Fractions 98/692,723/985,648/444 is 7652232

Greatest Common Factor of 692,985,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,985,444 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 692,985,444 . The biggest common factor number is the GCF number.
So the greatest common factor 692,985,444 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 98/692, 723/985, 648/444

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 98/692, 723/985, 648/444?

Answer: LCM of Numerators as per given numbers 98/692, 723/985, 648/444 is

LCM of Numerators i.e. for 98,723,648 is 7652232

GCF of denominators i.e. for 692,985,444 is 1.

Thus, LCM of Fractions is 7652232.Finally, LCM of Fractions for 98/692, 723/985, 648/444 is 7652232.