Least Common Multiple of 49/893, 743/957, 153/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/893, 743/957, 153/358 quickly i.e. 5570271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/893, 743/957, 153/358 is 5570271.

LCM(49/893, 743/957, 153/358) = 5570271

LCM of 49/893, 743/957, 153/358

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 49/893,743/957,153/358

Given numbers are 49/893,743/957,153/358

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 49,743,153

Least Common Multiple of Numerators i.e. LCM of 49,743,153 is 5570271.

GCF of Denominators means GCF of 893,957,358 as per the given fractions.

GCF of 893,957,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,743,153

LCM of Fractions 49/893,743/957,153/358 is 5570271

Given numbers has no common factors except 1. So, there LCM is their product i.e 5570271

Least Common Multiple of 49,743,153 with GCF Formula

Least Common Multiple of 49,743,153 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 49,743,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,743,153) = 1

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

GCF(49,743,153) x common factors =1 x 1 = 1

LCM(49,743,153) = ( 49 × 743 × 153 ) / 1

LCM(49,743,153) = 5570271 / 1

LCM(49,743,153) = 5570271


Lets's calculate GCF of 893,957,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5570271/1

Therefore the LCM of Fractions 49/893,743/957,153/358 is 5570271

Greatest Common Factor of 893,957,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,957,358 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1,3,11,29,33,87,319,957

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 893,957,358 . The biggest common factor number is the GCF number.
So the greatest common factor 893,957,358 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/893, 743/957, 153/358

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 49/893, 743/957, 153/358?

Answer: LCM of Numerators as per given numbers 49/893, 743/957, 153/358 is

LCM of Numerators i.e. for 49,743,153 is 5570271

GCF of denominators i.e. for 893,957,358 is 1.

Thus, LCM of Fractions is 5570271.Finally, LCM of Fractions for 49/893, 743/957, 153/358 is 5570271.