Least Common Multiple of 74/69, 762/13, 978/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/69, 762/13, 978/767 quickly i.e. 4595622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/69, 762/13, 978/767 is 4595622.

LCM(74/69, 762/13, 978/767) = 4595622

LCM of 74/69, 762/13, 978/767

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 74/69,762/13,978/767

Given numbers are 74/69,762/13,978/767

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 74,762,978

Least Common Multiple of Numerators i.e. LCM of 74,762,978 is 4595622.

GCF of Denominators means GCF of 69,13,767 as per the given fractions.

GCF of 69,13,767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,762,978

LCM of Fractions 74/69,762/13,978/767 is 4595622

2 74, 762, 978
3 37, 381, 489
37, 127, 163

∴ So the LCM of the given numbers is 2 x 3 x 37 x 127 x 163 = 4595622

Least Common Multiple of 74,762,978 with GCF Formula

Least Common Multiple of 74,762,978 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 74,762,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,762,978) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(74,762,978) x common factors =2 x 6 = 12

LCM(74,762,978) = ( 74 × 762 × 978 ) / 12

LCM(74,762,978) = 55147464 / 12

LCM(74,762,978) = 4595622


Lets's calculate GCF of 69,13,767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4595622/1

Therefore the LCM of Fractions 74/69,762/13,978/767 is 4595622

Greatest Common Factor of 69,13,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,13,767 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 69,13,767 . The biggest common factor number is the GCF number.
So the greatest common factor 69,13,767 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 74/69, 762/13, 978/767

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 74/69, 762/13, 978/767?

Answer: LCM of Numerators as per given numbers 74/69, 762/13, 978/767 is

LCM of Numerators i.e. for 74,762,978 is 4595622

GCF of denominators i.e. for 69,13,767 is 1.

Thus, LCM of Fractions is 4595622.Finally, LCM of Fractions for 74/69, 762/13, 978/767 is 4595622.