Least Common Multiple of 276/705, 572/924, 935/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/705, 572/924, 935/749 quickly i.e. 3354780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/705, 572/924, 935/749 is 3354780.

LCM(276/705, 572/924, 935/749) = 3354780

LCM of 276/705, 572/924, 935/749

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 276/705,572/924,935/749

Given numbers are 276/705,572/924,935/749

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 276,572,935

Least Common Multiple of Numerators i.e. LCM of 276,572,935 is 3354780.

GCF of Denominators means GCF of 705,924,749 as per the given fractions.

GCF of 705,924,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,572,935

LCM of Fractions 276/705,572/924,935/749 is 3354780

2 276, 572, 935
2 138, 286, 935
11 69, 143, 935
69, 13, 85

∴ So the LCM of the given numbers is 2 x 2 x 11 x 69 x 13 x 85 = 3354780

Least Common Multiple of 276,572,935 with GCF Formula

Least Common Multiple of 276,572,935 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 276,572,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,572,935) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(276,572,935) x common factors =1 x 44 = 44

LCM(276,572,935) = ( 276 × 572 × 935 ) / 44

LCM(276,572,935) = 147610320 / 44

LCM(276,572,935) = 3354780


Lets's calculate GCF of 705,924,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3354780/1

Therefore the LCM of Fractions 276/705,572/924,935/749 is 3354780

Greatest Common Factor of 705,924,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,924,749 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 705,924,749 . The biggest common factor number is the GCF number.
So the greatest common factor 705,924,749 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 276/705, 572/924, 935/749

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 276/705, 572/924, 935/749?

Answer: LCM of Numerators as per given numbers 276/705, 572/924, 935/749 is

LCM of Numerators i.e. for 276,572,935 is 3354780

GCF of denominators i.e. for 705,924,749 is 1.

Thus, LCM of Fractions is 3354780.Finally, LCM of Fractions for 276/705, 572/924, 935/749 is 3354780.