Least Common Multiple of 99/688, 829/66, 958/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/688, 829/66, 958/737 quickly i.e. 78624018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/688, 829/66, 958/737 is 78624018.

LCM(99/688, 829/66, 958/737) = 78624018

LCM of 99/688, 829/66, 958/737

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 99/688,829/66,958/737

Given numbers are 99/688,829/66,958/737

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 99,829,958

Least Common Multiple of Numerators i.e. LCM of 99,829,958 is 78624018.

GCF of Denominators means GCF of 688,66,737 as per the given fractions.

GCF of 688,66,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,829,958

LCM of Fractions 99/688,829/66,958/737 is 78624018

Given numbers has no common factors except 1. So, there LCM is their product i.e 78624018

Least Common Multiple of 99,829,958 with GCF Formula

Least Common Multiple of 99,829,958 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 99,829,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,829,958) = 1

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

GCF(99,829,958) x common factors =1 x 1 = 1

LCM(99,829,958) = ( 99 × 829 × 958 ) / 1

LCM(99,829,958) = 78624018 / 1

LCM(99,829,958) = 78624018


Lets's calculate GCF of 688,66,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78624018/1

Therefore the LCM of Fractions 99/688,829/66,958/737 is 78624018

Greatest Common Factor of 688,66,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,66,737 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 688,66,737 . The biggest common factor number is the GCF number.
So the greatest common factor 688,66,737 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 99/688, 829/66, 958/737

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 99/688, 829/66, 958/737?

Answer: LCM of Numerators as per given numbers 99/688, 829/66, 958/737 is

LCM of Numerators i.e. for 99,829,958 is 78624018

GCF of denominators i.e. for 688,66,737 is 1.

Thus, LCM of Fractions is 78624018.Finally, LCM of Fractions for 99/688, 829/66, 958/737 is 78624018.