Least Common Multiple of 778/736, 668/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 778/736, 668/315 quickly i.e. 259852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/736, 668/315 is 259852.

LCM(778/736, 668/315) = 259852

LCM of 778/736, 668/315

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 778/736,668/315

Given numbers are 778/736,668/315

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 778,668

Least Common Multiple of Numerators i.e. LCM of 778,668 is 259852.

GCF of Denominators means GCF of 736,315 as per the given fractions.

GCF of 736,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,668

LCM of Fractions 778/736,668/315 is 259852

2 778, 668
389, 334

∴ So the LCM of the given numbers is 2 x 389 x 334 = 259852

Least Common Multiple of 778,668 with GCF Formula

Least Common Multiple of 778,668 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 778,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,668) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(778,668) x common factors =2 x 1 = 2

LCM(778,668) = ( 778 × 668 ) / 2

LCM(778,668) = 519704 / 2

LCM(778,668) = 259852


Lets's calculate GCF of 736,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259852/1

Therefore the LCM of Fractions 778/736,668/315 is 259852

Greatest Common Factor of 736,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,315 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 736,315 . The biggest common factor number is the GCF number.
So the greatest common factor 736,315 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 778/736, 668/315

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 778/736, 668/315?

Answer: LCM of Numerators as per given numbers 778/736, 668/315 is

LCM of Numerators i.e. for 778,668 is 259852

GCF of denominators i.e. for 736,315 is 1.

Thus, LCM of Fractions is 259852.Finally, LCM of Fractions for 778/736, 668/315 is 259852.