Least Common Multiple of 76/708, 74/520, 378/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/708, 74/520, 378/602 quickly i.e. 265734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/708, 74/520, 378/602 is 265734.

LCM(76/708, 74/520, 378/602) = 265734

LCM of 76/708, 74/520, 378/602

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 76/708,74/520,378/602

Given numbers are 76/708,74/520,378/602

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 76,74,378

Least Common Multiple of Numerators i.e. LCM of 76,74,378 is 531468.

GCF of Denominators means GCF of 708,520,602 as per the given fractions.

GCF of 708,520,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,74,378

LCM of Fractions 76/708,74/520,378/602 is 265734

2 76, 74, 378
38, 37, 189

∴ So the LCM of the given numbers is 2 x 38 x 37 x 189 = 531468

Least Common Multiple of 76,74,378 with GCF Formula

Least Common Multiple of 76,74,378 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 76,74,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,74,378) = 2

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

GCF(76,74,378) x common factors =2 x 2 = 4

LCM(76,74,378) = ( 76 × 74 × 378 ) / 4

LCM(76,74,378) = 2125872 / 4

LCM(76,74,378) = 531468


Lets's calculate GCF of 708,520,602

2 708, 520, 602
354, 260, 301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531468/2

Therefore the LCM of Fractions 76/708,74/520,378/602 is 265734

Greatest Common Factor of 708,520,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,520,602 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 708,520,602 . The biggest common factor number is the GCF number.
So the greatest common factor 708,520,602 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 76/708, 74/520, 378/602

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 76/708, 74/520, 378/602?

Answer: LCM of Numerators as per given numbers 76/708, 74/520, 378/602 is

LCM of Numerators i.e. for 76,74,378 is 531468

GCF of denominators i.e. for 708,520,602 is 2.

Thus, LCM of Fractions is 265734.Finally, LCM of Fractions for 76/708, 74/520, 378/602 is 265734.