Least Common Multiple of 49/852, 25/750, 951/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/852, 25/750, 951/661 quickly i.e. 1164975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/852, 25/750, 951/661 is 1164975.

LCM(49/852, 25/750, 951/661) = 1164975

LCM of 49/852, 25/750, 951/661

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 49/852,25/750,951/661

Given numbers are 49/852,25/750,951/661

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 49,25,951

Least Common Multiple of Numerators i.e. LCM of 49,25,951 is 1164975.

GCF of Denominators means GCF of 852,750,661 as per the given fractions.

GCF of 852,750,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,25,951

LCM of Fractions 49/852,25/750,951/661 is 1164975

Given numbers has no common factors except 1. So, there LCM is their product i.e 1164975

Least Common Multiple of 49,25,951 with GCF Formula

Least Common Multiple of 49,25,951 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 49,25,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,25,951) = 1

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

GCF(49,25,951) x common factors =1 x 1 = 1

LCM(49,25,951) = ( 49 × 25 × 951 ) / 1

LCM(49,25,951) = 1164975 / 1

LCM(49,25,951) = 1164975


Lets's calculate GCF of 852,750,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1164975/1

Therefore the LCM of Fractions 49/852,25/750,951/661 is 1164975

Greatest Common Factor of 852,750,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,750,661 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 852,750,661 . The biggest common factor number is the GCF number.
So the greatest common factor 852,750,661 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/852, 25/750, 951/661

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 49/852, 25/750, 951/661?

Answer: LCM of Numerators as per given numbers 49/852, 25/750, 951/661 is

LCM of Numerators i.e. for 49,25,951 is 1164975

GCF of denominators i.e. for 852,750,661 is 1.

Thus, LCM of Fractions is 1164975.Finally, LCM of Fractions for 49/852, 25/750, 951/661 is 1164975.