Least Common Multiple of 83/32, 134/67, 780/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/32, 134/67, 780/798 quickly i.e. 4337580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/32, 134/67, 780/798 is 4337580.

LCM(83/32, 134/67, 780/798) = 4337580

LCM of 83/32, 134/67, 780/798

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 83/32,134/67,780/798

Given numbers are 83/32,134/67,780/798

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 83,134,780

Least Common Multiple of Numerators i.e. LCM of 83,134,780 is 4337580.

GCF of Denominators means GCF of 32,67,798 as per the given fractions.

GCF of 32,67,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,134,780

LCM of Fractions 83/32,134/67,780/798 is 4337580

2 83, 134, 780
83, 67, 390

∴ So the LCM of the given numbers is 2 x 83 x 67 x 390 = 4337580

Least Common Multiple of 83,134,780 with GCF Formula

Least Common Multiple of 83,134,780 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 83,134,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,134,780) = 1

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

GCF(83,134,780) x common factors =1 x 2 = 2

LCM(83,134,780) = ( 83 × 134 × 780 ) / 2

LCM(83,134,780) = 8675160 / 2

LCM(83,134,780) = 4337580


Lets's calculate GCF of 32,67,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4337580/1

Therefore the LCM of Fractions 83/32,134/67,780/798 is 4337580

Greatest Common Factor of 32,67,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,67,798 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 32,67,798 . The biggest common factor number is the GCF number.
So the greatest common factor 32,67,798 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 83/32, 134/67, 780/798

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 83/32, 134/67, 780/798?

Answer: LCM of Numerators as per given numbers 83/32, 134/67, 780/798 is

LCM of Numerators i.e. for 83,134,780 is 4337580

GCF of denominators i.e. for 32,67,798 is 1.

Thus, LCM of Fractions is 4337580.Finally, LCM of Fractions for 83/32, 134/67, 780/798 is 4337580.