Least Common Multiple of 22/79, 51/92, 735/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/79, 51/92, 735/907 quickly i.e. 274890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/79, 51/92, 735/907 is 274890.

LCM(22/79, 51/92, 735/907) = 274890

LCM of 22/79, 51/92, 735/907

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 22/79,51/92,735/907

Given numbers are 22/79,51/92,735/907

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 22,51,735

Least Common Multiple of Numerators i.e. LCM of 22,51,735 is 274890.

GCF of Denominators means GCF of 79,92,907 as per the given fractions.

GCF of 79,92,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,51,735

LCM of Fractions 22/79,51/92,735/907 is 274890

3 22, 51, 735
22, 17, 245

∴ So the LCM of the given numbers is 3 x 22 x 17 x 245 = 274890

Least Common Multiple of 22,51,735 with GCF Formula

Least Common Multiple of 22,51,735 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 22,51,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,51,735) = 1

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

GCF(22,51,735) x common factors =1 x 3 = 3

LCM(22,51,735) = ( 22 × 51 × 735 ) / 3

LCM(22,51,735) = 824670 / 3

LCM(22,51,735) = 274890


Lets's calculate GCF of 79,92,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274890/1

Therefore the LCM of Fractions 22/79,51/92,735/907 is 274890

Greatest Common Factor of 79,92,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,92,907 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 79,92,907 . The biggest common factor number is the GCF number.
So the greatest common factor 79,92,907 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/79, 51/92, 735/907

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 22/79, 51/92, 735/907?

Answer: LCM of Numerators as per given numbers 22/79, 51/92, 735/907 is

LCM of Numerators i.e. for 22,51,735 is 274890

GCF of denominators i.e. for 79,92,907 is 1.

Thus, LCM of Fractions is 274890.Finally, LCM of Fractions for 22/79, 51/92, 735/907 is 274890.