Least Common Multiple of 74/278, 709/920, 690/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/278, 709/920, 690/780 quickly i.e. 9050385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/278, 709/920, 690/780 is 9050385.

LCM(74/278, 709/920, 690/780) = 9050385

LCM of 74/278, 709/920, 690/780

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 74/278,709/920,690/780

Given numbers are 74/278,709/920,690/780

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 74,709,690

Least Common Multiple of Numerators i.e. LCM of 74,709,690 is 18100770.

GCF of Denominators means GCF of 278,920,780 as per the given fractions.

GCF of 278,920,780 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,709,690

LCM of Fractions 74/278,709/920,690/780 is 9050385

2 74, 709, 690
37, 709, 345

∴ So the LCM of the given numbers is 2 x 37 x 709 x 345 = 18100770

Least Common Multiple of 74,709,690 with GCF Formula

Least Common Multiple of 74,709,690 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 74,709,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,709,690) = 1

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

GCF(74,709,690) x common factors =1 x 2 = 2

LCM(74,709,690) = ( 74 × 709 × 690 ) / 2

LCM(74,709,690) = 36201540 / 2

LCM(74,709,690) = 18100770


Lets's calculate GCF of 278,920,780

2 278, 920, 780
139, 460, 390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18100770/2

Therefore the LCM of Fractions 74/278,709/920,690/780 is 9050385

Greatest Common Factor of 278,920,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,920,780 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 278,920,780 . The biggest common factor number is the GCF number.
So the greatest common factor 278,920,780 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 74/278, 709/920, 690/780

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 74/278, 709/920, 690/780?

Answer: LCM of Numerators as per given numbers 74/278, 709/920, 690/780 is

LCM of Numerators i.e. for 74,709,690 is 18100770

GCF of denominators i.e. for 278,920,780 is 2.

Thus, LCM of Fractions is 9050385.Finally, LCM of Fractions for 74/278, 709/920, 690/780 is 9050385.