Least Common Multiple of 745/601, 742/693, 378/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 745/601, 742/693, 378/766 quickly i.e. 14925330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 745/601, 742/693, 378/766 is 14925330.

LCM(745/601, 742/693, 378/766) = 14925330

LCM of 745/601, 742/693, 378/766

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 745/601,742/693,378/766

Given numbers are 745/601,742/693,378/766

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 745,742,378

Least Common Multiple of Numerators i.e. LCM of 745,742,378 is 14925330.

GCF of Denominators means GCF of 601,693,766 as per the given fractions.

GCF of 601,693,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 745,742,378

LCM of Fractions 745/601,742/693,378/766 is 14925330

2 745, 742, 378
7 745, 371, 189
745, 53, 27

∴ So the LCM of the given numbers is 2 x 7 x 745 x 53 x 27 = 14925330

Least Common Multiple of 745,742,378 with GCF Formula

Least Common Multiple of 745,742,378 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 745,742,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,742,378) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(745,742,378) x common factors =1 x 14 = 14

LCM(745,742,378) = ( 745 × 742 × 378 ) / 14

LCM(745,742,378) = 208954620 / 14

LCM(745,742,378) = 14925330


Lets's calculate GCF of 601,693,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14925330/1

Therefore the LCM of Fractions 745/601,742/693,378/766 is 14925330

Greatest Common Factor of 601,693,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,693,766 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 601,693,766 . The biggest common factor number is the GCF number.
So the greatest common factor 601,693,766 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 745/601, 742/693, 378/766

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 745/601, 742/693, 378/766?

Answer: LCM of Numerators as per given numbers 745/601, 742/693, 378/766 is

LCM of Numerators i.e. for 745,742,378 is 14925330

GCF of denominators i.e. for 601,693,766 is 1.

Thus, LCM of Fractions is 14925330.Finally, LCM of Fractions for 745/601, 742/693, 378/766 is 14925330.