Least Common Multiple of 99/786, 689/633, 553/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/786, 689/633, 553/297 quickly i.e. 12573561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/786, 689/633, 553/297 is 12573561.

LCM(99/786, 689/633, 553/297) = 12573561

LCM of 99/786, 689/633, 553/297

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 99/786,689/633,553/297

Given numbers are 99/786,689/633,553/297

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 99,689,553

Least Common Multiple of Numerators i.e. LCM of 99,689,553 is 37720683.

GCF of Denominators means GCF of 786,633,297 as per the given fractions.

GCF of 786,633,297 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,689,553

LCM of Fractions 99/786,689/633,553/297 is 12573561

Given numbers has no common factors except 1. So, there LCM is their product i.e 37720683

Least Common Multiple of 99,689,553 with GCF Formula

Least Common Multiple of 99,689,553 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 99,689,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,689,553) = 1

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

GCF(99,689,553) x common factors =1 x 1 = 1

LCM(99,689,553) = ( 99 × 689 × 553 ) / 1

LCM(99,689,553) = 37720683 / 1

LCM(99,689,553) = 37720683


Lets's calculate GCF of 786,633,297

3 786, 633, 297
262, 211, 99

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37720683/3

Therefore the LCM of Fractions 99/786,689/633,553/297 is 12573561

Greatest Common Factor of 786,633,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,633,297 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 786,633,297 . The biggest common factor number is the GCF number.
So the greatest common factor 786,633,297 is 3.


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 99/786, 689/633, 553/297

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 99/786, 689/633, 553/297?

Answer: LCM of Numerators as per given numbers 99/786, 689/633, 553/297 is

LCM of Numerators i.e. for 99,689,553 is 37720683

GCF of denominators i.e. for 786,633,297 is 3.

Thus, LCM of Fractions is 12573561.Finally, LCM of Fractions for 99/786, 689/633, 553/297 is 12573561.