Least Common Multiple of 15/851, 348/695, 971/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/851, 348/695, 971/737 quickly i.e. 1689540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/851, 348/695, 971/737 is 1689540.

LCM(15/851, 348/695, 971/737) = 1689540

LCM of 15/851, 348/695, 971/737

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 15/851,348/695,971/737

Given numbers are 15/851,348/695,971/737

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 15,348,971

Least Common Multiple of Numerators i.e. LCM of 15,348,971 is 1689540.

GCF of Denominators means GCF of 851,695,737 as per the given fractions.

GCF of 851,695,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,348,971

LCM of Fractions 15/851,348/695,971/737 is 1689540

3 15, 348, 971
5, 116, 971

∴ So the LCM of the given numbers is 3 x 5 x 116 x 971 = 1689540

Least Common Multiple of 15,348,971 with GCF Formula

Least Common Multiple of 15,348,971 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 15,348,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,348,971) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,348,971) x common factors =1 x 3 = 3

LCM(15,348,971) = ( 15 × 348 × 971 ) / 3

LCM(15,348,971) = 5068620 / 3

LCM(15,348,971) = 1689540


Lets's calculate GCF of 851,695,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1689540/1

Therefore the LCM of Fractions 15/851,348/695,971/737 is 1689540

Greatest Common Factor of 851,695,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,695,737 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 851,695,737 . The biggest common factor number is the GCF number.
So the greatest common factor 851,695,737 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/851, 348/695, 971/737

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 15/851, 348/695, 971/737?

Answer: LCM of Numerators as per given numbers 15/851, 348/695, 971/737 is

LCM of Numerators i.e. for 15,348,971 is 1689540

GCF of denominators i.e. for 851,695,737 is 1.

Thus, LCM of Fractions is 1689540.Finally, LCM of Fractions for 15/851, 348/695, 971/737 is 1689540.