Least Common Multiple of 82/312, 350/450, 128/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/312, 350/450, 128/702 quickly i.e. 918400/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/312, 350/450, 128/702 is 918400/6.

LCM(82/312, 350/450, 128/702) = 918400/6

LCM of 82/312, 350/450, 128/702

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 82/312,350/450,128/702

Given numbers are 82/312,350/450,128/702

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 82,350,128

Least Common Multiple of Numerators i.e. LCM of 82,350,128 is 918400.

GCF of Denominators means GCF of 312,450,702 as per the given fractions.

GCF of 312,450,702 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,350,128

LCM of Fractions 82/312,350/450,128/702 is 918400/6

2 82, 350, 128
41, 175, 64

∴ So the LCM of the given numbers is 2 x 41 x 175 x 64 = 918400

Least Common Multiple of 82,350,128 with GCF Formula

Least Common Multiple of 82,350,128 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 82,350,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,350,128) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,350,128) x common factors =2 x 2 = 4

LCM(82,350,128) = ( 82 × 350 × 128 ) / 4

LCM(82,350,128) = 3673600 / 4

LCM(82,350,128) = 918400


Lets's calculate GCF of 312,450,702

2 312, 450, 702
3 156, 225, 351
52, 75, 117

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918400/6

Therefore the LCM of Fractions 82/312,350/450,128/702 is 918400/6

Greatest Common Factor of 312,450,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,450,702 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 312,450,702 . The biggest common factor number is the GCF number.
So the greatest common factor 312,450,702 is 6.


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 82/312, 350/450, 128/702

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 82/312, 350/450, 128/702?

Answer: LCM of Numerators as per given numbers 82/312, 350/450, 128/702 is

LCM of Numerators i.e. for 82,350,128 is 918400

GCF of denominators i.e. for 312,450,702 is 6.

Thus, LCM of Fractions is 918400/6.Finally, LCM of Fractions for 82/312, 350/450, 128/702 is 918400/6.