Least Common Multiple of 48/698, 49/525, 767/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/698, 49/525, 767/157 quickly i.e. 1803984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/698, 49/525, 767/157 is 1803984.

LCM(48/698, 49/525, 767/157) = 1803984

LCM of 48/698, 49/525, 767/157

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 48/698,49/525,767/157

Given numbers are 48/698,49/525,767/157

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 48,49,767

Least Common Multiple of Numerators i.e. LCM of 48,49,767 is 1803984.

GCF of Denominators means GCF of 698,525,157 as per the given fractions.

GCF of 698,525,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,49,767

LCM of Fractions 48/698,49/525,767/157 is 1803984

Given numbers has no common factors except 1. So, there LCM is their product i.e 1803984

Least Common Multiple of 48,49,767 with GCF Formula

Least Common Multiple of 48,49,767 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 48,49,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,49,767) = 1

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

GCF(48,49,767) x common factors =1 x 1 = 1

LCM(48,49,767) = ( 48 × 49 × 767 ) / 1

LCM(48,49,767) = 1803984 / 1

LCM(48,49,767) = 1803984


Lets's calculate GCF of 698,525,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1803984/1

Therefore the LCM of Fractions 48/698,49/525,767/157 is 1803984

Greatest Common Factor of 698,525,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,525,157 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 698,525,157 . The biggest common factor number is the GCF number.
So the greatest common factor 698,525,157 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/698, 49/525, 767/157

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 48/698, 49/525, 767/157?

Answer: LCM of Numerators as per given numbers 48/698, 49/525, 767/157 is

LCM of Numerators i.e. for 48,49,767 is 1803984

GCF of denominators i.e. for 698,525,157 is 1.

Thus, LCM of Fractions is 1803984.Finally, LCM of Fractions for 48/698, 49/525, 767/157 is 1803984.