Least Common Multiple of 70/336, 99/332, 123/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/336, 99/332, 123/526 quickly i.e. 142065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/336, 99/332, 123/526 is 142065.

LCM(70/336, 99/332, 123/526) = 142065

LCM of 70/336, 99/332, 123/526

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 70/336,99/332,123/526

Given numbers are 70/336,99/332,123/526

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 70,99,123

Least Common Multiple of Numerators i.e. LCM of 70,99,123 is 284130.

GCF of Denominators means GCF of 336,332,526 as per the given fractions.

GCF of 336,332,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,99,123

LCM of Fractions 70/336,99/332,123/526 is 142065

3 70, 99, 123
70, 33, 41

∴ So the LCM of the given numbers is 3 x 70 x 33 x 41 = 284130

Least Common Multiple of 70,99,123 with GCF Formula

Least Common Multiple of 70,99,123 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 70,99,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,99,123) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(70,99,123) x common factors =1 x 3 = 3

LCM(70,99,123) = ( 70 × 99 × 123 ) / 3

LCM(70,99,123) = 852390 / 3

LCM(70,99,123) = 284130


Lets's calculate GCF of 336,332,526

2 336, 332, 526
168, 166, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284130/2

Therefore the LCM of Fractions 70/336,99/332,123/526 is 142065

Greatest Common Factor of 336,332,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,332,526 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 336,332,526 . The biggest common factor number is the GCF number.
So the greatest common factor 336,332,526 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 70/336, 99/332, 123/526

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 70/336, 99/332, 123/526?

Answer: LCM of Numerators as per given numbers 70/336, 99/332, 123/526 is

LCM of Numerators i.e. for 70,99,123 is 284130

GCF of denominators i.e. for 336,332,526 is 2.

Thus, LCM of Fractions is 142065.Finally, LCM of Fractions for 70/336, 99/332, 123/526 is 142065.