Least Common Multiple of 714/276, 612/947, 572/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/276, 612/947, 572/388 quickly i.e. 612612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/276, 612/947, 572/388 is 612612.

LCM(714/276, 612/947, 572/388) = 612612

LCM of 714/276, 612/947, 572/388

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 714/276,612/947,572/388

Given numbers are 714/276,612/947,572/388

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 714,612,572

Least Common Multiple of Numerators i.e. LCM of 714,612,572 is 612612.

GCF of Denominators means GCF of 276,947,388 as per the given fractions.

GCF of 276,947,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,612,572

LCM of Fractions 714/276,612/947,572/388 is 612612

2 714, 612, 572
2 357, 306, 286
3 357, 153, 143
17 119, 51, 143
7, 3, 143

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 7 x 3 x 143 = 612612

Least Common Multiple of 714,612,572 with GCF Formula

Least Common Multiple of 714,612,572 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 714,612,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,612,572) = 2

common factors(in case of two or more numbers have common factors) = 204

GCF(714,612,572) x common factors =2 x 204 = 408

LCM(714,612,572) = ( 714 × 612 × 572 ) / 408

LCM(714,612,572) = 249945696 / 408

LCM(714,612,572) = 612612


Lets's calculate GCF of 276,947,388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612612/1

Therefore the LCM of Fractions 714/276,612/947,572/388 is 612612

Greatest Common Factor of 276,947,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,947,388 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 276,947,388 . The biggest common factor number is the GCF number.
So the greatest common factor 276,947,388 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 714/276, 612/947, 572/388

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 714/276, 612/947, 572/388?

Answer: LCM of Numerators as per given numbers 714/276, 612/947, 572/388 is

LCM of Numerators i.e. for 714,612,572 is 612612

GCF of denominators i.e. for 276,947,388 is 1.

Thus, LCM of Fractions is 612612.Finally, LCM of Fractions for 714/276, 612/947, 572/388 is 612612.