Least Common Multiple of 64/312, 725/78, 740/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/312, 725/78, 740/894 quickly i.e. 1716800/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/312, 725/78, 740/894 is 1716800/6.

LCM(64/312, 725/78, 740/894) = 1716800/6

LCM of 64/312, 725/78, 740/894

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 64/312,725/78,740/894

Given numbers are 64/312,725/78,740/894

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 64,725,740

Least Common Multiple of Numerators i.e. LCM of 64,725,740 is 1716800.

GCF of Denominators means GCF of 312,78,894 as per the given fractions.

GCF of 312,78,894 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,725,740

LCM of Fractions 64/312,725/78,740/894 is 1716800/6

2 64, 725, 740
2 32, 725, 370
5 16, 725, 185
16, 145, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 16 x 145 x 37 = 1716800

Least Common Multiple of 64,725,740 with GCF Formula

Least Common Multiple of 64,725,740 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 64,725,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,725,740) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(64,725,740) x common factors =1 x 20 = 20

LCM(64,725,740) = ( 64 × 725 × 740 ) / 20

LCM(64,725,740) = 34336000 / 20

LCM(64,725,740) = 1716800


Lets's calculate GCF of 312,78,894

2 312, 78, 894
3 156, 39, 447
52, 13, 149

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1716800/6

Therefore the LCM of Fractions 64/312,725/78,740/894 is 1716800/6

Greatest Common Factor of 312,78,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,78,894 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 312,78,894 . The biggest common factor number is the GCF number.
So the greatest common factor 312,78,894 is 6.


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 64/312, 725/78, 740/894

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 64/312, 725/78, 740/894?

Answer: LCM of Numerators as per given numbers 64/312, 725/78, 740/894 is

LCM of Numerators i.e. for 64,725,740 is 1716800

GCF of denominators i.e. for 312,78,894 is 6.

Thus, LCM of Fractions is 1716800/6.Finally, LCM of Fractions for 64/312, 725/78, 740/894 is 1716800/6.